Greatest Common Factor of 928 and 935

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 928, 935 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 928 and 935 is 1.

GCF(928,935) = 1

GCF of 928 and 935

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

GCF of:
and

Greatest Common Factor of 928 and 935

GCF of 928 and 935 is 1

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

Prime Factorization of 935


5 935
11 187
17 17
1

Prime factors of 935 are 5,11,17. Prime factorization of 935 in exponential form is:

935 = 51×111×171

∴ So by taking common prime factors GCF of 928 and 935 is 1

Greatest Common Factor of 928 and 935 by matching factors method

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

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors and prime factorization of 928 and 935. The biggest common factor number is the GCF number.
So the greatest common factor 928 and 935 is 1.

Also check out the Least Common Multiple of 928 and 935

Properties of GCF 928 and 935

(i) The GCF of 928 and 935 is associative

GCF of 928 and 935 = GCF of 935 and 928

Related Greatest Common Factor of 928

Related Greatest Common Factor of 935

Frequently Asked Questions on GCF of 928 and 935

1. What is the GCF of 928 and 935?

Answer: GCF of 928 and 935 is 1.

2. 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.

3. What are the Factors of 935?

Answer: Factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935. There are 8 integers that are factors of 935. The greatest factor of 935 is 935.

4. How to Find the GCF of 928 and 935?

Answer:

Greatest Common Factor of 928 and 935 = 1

Step 1: Find the prime factorization of 928

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

Step 2: Find the prime factorization of 935

935 = 5 x 11 x 17

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 928 and 935 is 1