# Greatest Common Factor of 20 and 25

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 20, 25 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20 and 25 is 5.

GCF(20,25) = 5

## GCF of 20 and 25

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

### Greatest Common Factor of 20 and 25 by Prime factorization method

Prime Factorization of 20

 2 20 2 10 5 5 1

Prime factors of 20 are 2,5. Prime factorization of 20 in exponential form is:

20 = 22×51

Prime Factorization of 25

 5 25 5 5 1

Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:

25 = 52

∴ So by taking common prime factors GCF of 20 and 25 is 5

### Greatest Common Factor of 20 and 25 by matching factors method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Greatest Common Factor

We found the factors and prime factorization of 20 and 25. The biggest common factor number is the GCF number.
So the greatest common factor 20 and 25 is 5.

Also check out the Least Common Multiple of 20 and 25

### Properties of GCF 20 and 25

(i) The GCF of 20 and 25 is associative

GCF of 20 and 25 = GCF of 25 and 20

### Frequently Asked Questions on GCF of 20 and 25

1. What is the GCF of 20 and 25?

Answer: GCF of 20 and 25 is 5.

2. What are the Factors of 20?

Answer: Factors of 20 are 1, 2, 4, 5, 10, 20. There are 6 integers that are factors of 20. The greatest factor of 20 is 20.

3. What are the Factors of 25?

Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.

4. How to Find the GCF of 20 and 25?

Greatest Common Factor of 20 and 25 = 5

Step 1: Find the prime factorization of 20

20 = 2 x 2 x 5

Step 2: Find the prime factorization of 25

25 = 5 x 5

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 20 and 25 is 5