# Greatest Common Factor of 24 and 25

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 24, 25 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 24 and 25 is 1.

GCF(24,25) = 1

## GCF of 24 and 25

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

GCF of:
and ### GCF of 24 and 25 is 1

Prime Factorization of 24

 2 24 2 12 2 6 3 3 1

Prime factors of 24 are 2,3. Prime factorization of 24 in exponential form is:

24 = 23×31

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 24 and 25 is 1

### Greatest Common Factor of 24 and 25 by matching factors method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 24 and 25. The biggest common factor number is the GCF number.
So the greatest common factor 24 and 25 is 1.

Also check out the Least Common Multiple of 24 and 25

### Properties of GCF 24 and 25

(i) The GCF of 24 and 25 is associative

GCF of 24 and 25 = GCF of 25 and 24

### Frequently Asked Questions on GCF of 24 and 25

1. What is the GCF of 24 and 25?

Answer: GCF of 24 and 25 is 1.

2. What are the Factors of 24?

Answer: Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. There are 8 integers that are factors of 24. The greatest factor of 24 is 24.

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 24 and 25?

Greatest Common Factor of 24 and 25 = 1

Step 1: Find the prime factorization of 24

24 = 2 x 2 x 2 x 3

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 = = 1

Step 4: Therefore, the greatest common factor of 24 and 25 is 1