Greatest Common Factor of 928 and 934

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, 934 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 928 and 934 is 2.

GCF(928,934) = 2

GCF of 928 and 934

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

GCF of:
and

Greatest Common Factor of 928 and 934

GCF of 928 and 934 is 2

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 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

∴ So by taking common prime factors GCF of 928 and 934 is 2

Greatest Common Factor of 928 and 934 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 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors and prime factorization of 928 and 934. The biggest common factor number is the GCF number.
So the greatest common factor 928 and 934 is 2.

Also check out the Least Common Multiple of 928 and 934

Properties of GCF 928 and 934

(i) The GCF of 928 and 934 is associative

GCF of 928 and 934 = GCF of 934 and 928

Related Greatest Common Factor of 928

Related Greatest Common Factor of 934

Frequently Asked Questions on GCF of 928 and 934

1. What is the GCF of 928 and 934?

Answer: GCF of 928 and 934 is 2.

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 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

4. How to Find the GCF of 928 and 934?

Answer:

Greatest Common Factor of 928 and 934 = 2

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 934

934 = 2 x 467

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

GCF = 2

Step 4: Therefore, the greatest common factor of 928 and 934 is 2