Greatest Common Factor of 920 and 925

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 920, 925 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 920 and 925 is 5.

GCF(920,925) = 5

GCF of 920 and 925

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

GCF of:
and

Greatest Common Factor of 920 and 925

GCF of 920 and 925 is 5

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2,5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

Prime Factorization of 925


5 925
5 185
37 37
1

Prime factors of 925 are 5,37. Prime factorization of 925 in exponential form is:

925 = 52×371

∴ So by taking common prime factors GCF of 920 and 925 is 5

Greatest Common Factor of 920 and 925 by matching factors method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors and prime factorization of 920 and 925. The biggest common factor number is the GCF number.
So the greatest common factor 920 and 925 is 5.

Also check out the Least Common Multiple of 920 and 925

Properties of GCF 920 and 925

(i) The GCF of 920 and 925 is associative

GCF of 920 and 925 = GCF of 925 and 920

Related Greatest Common Factor of 920

Related Greatest Common Factor of 925

Frequently Asked Questions on GCF of 920 and 925

1. What is the GCF of 920 and 925?

Answer: GCF of 920 and 925 is 5.

2. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

3. What are the Factors of 925?

Answer: Factors of 925 are 1, 5, 25, 37, 185, 925. There are 6 integers that are factors of 925. The greatest factor of 925 is 925.

4. How to Find the GCF of 920 and 925?

Answer:

Greatest Common Factor of 920 and 925 = 5

Step 1: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 925

925 = 5 x 5 x 37

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 920 and 925 is 5