Greatest Common Factor of 925 and 928

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 925, 928 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 925 and 928 is 1.

GCF(925,928) = 1

GCF of 925 and 928

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

GCF of:
and

Greatest Common Factor of 925 and 928

GCF of 925 and 928 is 1

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

Prime Factorization of 928


2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 928 are 2,29. Prime factorization of 928 in exponential form is:

928 = 25×291

∴ So by taking common prime factors GCF of 925 and 928 is 1

Greatest Common Factor of 925 and 928 by matching factors method

Factors of 925

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

1,5,25,37,185,925

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors and prime factorization of 925 and 928. The biggest common factor number is the GCF number.
So the greatest common factor 925 and 928 is 1.

Also check out the Least Common Multiple of 925 and 928

Properties of GCF 925 and 928

(i) The GCF of 925 and 928 is associative

GCF of 925 and 928 = GCF of 928 and 925

Related Greatest Common Factor of 925

Related Greatest Common Factor of 928

Frequently Asked Questions on GCF of 925 and 928

1. What is the GCF of 925 and 928?

Answer: GCF of 925 and 928 is 1.

2. 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.

3. What are the Factors of 928?

Answer: Factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. There are 12 integers that are factors of 928. The greatest factor of 928 is 928.

4. How to Find the GCF of 925 and 928?

Answer:

Greatest Common Factor of 925 and 928 = 1

Step 1: Find the prime factorization of 925

925 = 5 x 5 x 37

Step 2: Find the prime factorization of 928

928 = 2 x 2 x 2 x 2 x 2 x 29

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 925 and 928 is 1