What is the factor of 25 and 20?

What is the HCF of 20 and 25? The Highest Common Factor (HCF) or the Greatest Common Divisor (GCD) of 20 and 25 is 5. The common factors of 20 and 25 are 1 and 5 .

What is the GCF of 25 and 25?

Since 25 is the largest of these common factors, the GCF of 25 and 25 would be 25.

How to calculate GCF?

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number . 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

How to calculate the highest common factor?

The HCF of two or more numbers is the highest common factor of the given numbers. It is found by multiplying the common prime factors of the given numbers . Whereas the Least Common Multiple (LCM) of two or more numbers is the smallest number among all common multiples of the given numbers.

What is the factor of 25 and 25?

Thus, the factors of 25 are 1, 5 and 25 . Similarly, the negative factors of 25 are -1, -5 and -25. Factors of 25: 1, 5 and 25. Prime Factorization of 25: 5 × 5 or 5 2 .

What are the GCF pairs of 25?

To solve this problem, we need to know the factors of 25. List them out: 1, 5, and 25, therefore the factor pairs are: (1,25), (5,5) .

What is the greatest factor of 25?

5 divides the number 25, therefore, it is the smallest prime factor of 25. However, 5 is also the largest factor of 25 as no other number divides 25 completely.

How to find GCF fast?

Here's how to find the GCF of a set of numbers using prime factorization: List the prime factors of each number. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set. Multiply all the circled numbers. The result is the GCF. Jul 9, 2021

How to solve GCF problems?

How do you find the GCF? Step 1: State the product of prime factors for each number. Step 2: Write all the prime factors for each number into a Venn diagram. Step 3: Multiply the prime factors in the intersection to find the GCF.

How do you find the GCD of two numbers?

How to find the GCD of Two Numbers? Step 1: Find the divisors of the positive number 'a'. Step 2: Find the divisors of the positive number 'b'. Step 3: List the divisors common to 'a' and 'b'. Step 4: Find the divisor which is the highest of all the common divisors of 'a' and 'b'. This is the GCD of 2 numbers.

How to find GCF using prime factorization?

So to find the GCF of two or more numbers, draw the factor tree of each number to represent their prime factorization. Then list their common prime factors. The product of these common factors is the GCF of the given numbers .

How to find common factors?

To find common factors of two numbers, first, list out all the factors of two numbers separately and then compare them. Now write the factors which are common to both the numbers . These factors are called common factors of given two numbers.

GCF of 20 and 25 | How to Find GCF of 20, 25? (2024)

GCF of 20 and 25 is the largest possible number that divides 20 and 25 exactly without any remainder. The factors of 20 and 25 are 1, 2, 4, 5, 10, 20 and 1, 5, 25 respectively. There are 3 commonly used methods to find the GCF of 20 and 25 - Euclidean algorithm, long division, and prime factorization.

1.	GCF of 20 and 25
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is GCF of 20 and 25?

Answer: GCF of 20 and 25 is 5.

Explanation:

The GCF of two non-zero integers, x(20) and y(25), is the greatest positive integer m(5) that divides both x(20) and y(25) without any remainder.

Methods to Find GCF of 20 and 25

Let's look at the different methods for finding the GCF of 20 and 25.

Prime Factorization Method
Listing Common Factors
Using Euclid's Algorithm

GCF of 20 and 25 by Prime Factorization

Prime factorization of 20 and 25 is (2 × 2 × 5) and (5 × 5) respectively. As visible, 20 and 25 have only one common prime factor i.e. 5. Hence, the GCF of 20 and 25 is 5.

GCF of 20 and 25 by Listing Common Factors

Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 25: 1, 5, 25

There are 2 common factors of 20 and 25, that are 1 and 5. Therefore, the greatest common factor of 20 and 25 is 5.

GCF of 20 and 25 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)
where X > Y and mod is the modulo operator.

Here X = 25 and Y = 20

GCF(25, 20) = GCF(20, 25 mod 20) = GCF(20, 5)
GCF(20, 5) = GCF(5, 20 mod 5) = GCF(5, 0)
GCF(5, 0) = 5 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF of 20 and 25 is 5.

☛ Also Check:

GCF of 25 and 40 = 5
GCF of 50 and 60 = 10
GCF of 64 and 96 = 32
GCF of 35 and 42 = 7
GCF of 8 and 24 = 8
GCF of 48 and 120 = 24
GCF of 18 and 32 = 2

GCF of 20 and 25 Examples

Example 1: For two numbers, GCF = 5 and LCM = 100. If one number is 20, find the other number.
Solution:
Given: GCF (x, 20) = 5 and LCM (x, 20) = 100
∵ GCF × LCM = 20 × (x)
⇒ x = (GCF × LCM)/20
⇒ x = (5 × 100)/20
⇒ x = 25
Therefore, the other number is 25.
Example 2: The product of two numbers is 500. If their GCF is 5, what is their LCM?
Solution:
Given: GCF = 5 and product of numbers = 500
∵ LCM × GCF = product of numbers
⇒ LCM = Product/GCF = 500/5
Therefore, the LCM is 100.
Example 3: Find the greatest number that divides 20 and 25 exactly.
Solution:
The greatest number that divides 20 and 25 exactly is their greatest common factor, i.e. GCF of 20 and 25.
⇒ Factors of 20 and 25:
- Factors of 20 = 1, 2, 4, 5, 10, 20
- Factors of 25 = 1, 5, 25
Therefore, the GCF of 20 and 25 is 5.

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FAQs on GCF of 20 and 25

What is the GCF of 20 and 25?

The GCF of 20 and 25 is 5. To calculate the GCF (Greatest Common Factor) of 20 and 25, we need to factor each number (factors of 20 = 1, 2, 4, 5, 10, 20; factors of 25 = 1, 5, 25) and choose the greatest factor that exactly divides both 20 and 25, i.e., 5.

If the GCF of 25 and 20 is 5, Find its LCM.

GCF(25, 20) × LCM(25, 20) = 25 × 20
Since the GCF of 25 and 20 = 5
⇒ 5 × LCM(25, 20) = 500
Therefore, LCM = 100
☛ GCF Calculator

What are the Methods to Find GCF of 20 and 25?

There are three commonly used methods to find the GCF of 20 and 25.

By Prime Factorization
By Euclidean Algorithm
By Long Division

What is the Relation Between LCM and GCF of 20, 25?

The following equation can be used to express the relation between Least Common Multiple (LCM) and GCF of 20 and 25, i.e. GCF × LCM = 20 × 25.

How to Find the GCF of 20 and 25 by Long Division Method?

To find the GCF of 20, 25 using long division method, 25 is divided by 20. The corresponding divisor (5) when remainder equals 0 is taken as GCF.

How to Find the GCF of 20 and 25 by Prime Factorization?

To find the GCF of 20 and 25, we will find the prime factorization of the given numbers, i.e. 20 = 2 × 2 × 5; 25 = 5 × 5.
⇒ Since 5 is the only common prime factor of 20 and 25. Hence, GCF (20, 25) = 5.
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