Greatest Common Factor of 932 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 932, 934 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 932 and 934 is 2.

GCF(932,934) = 2

GCF of 932 and 934

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

GCF of:
and

Greatest Common Factor of 932 and 934

GCF of 932 and 934 is 2

Prime Factorization of 932


2 932
2 466
233 233
1

Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:

932 = 22×2331

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 932 and 934 is 2

Greatest Common Factor of 932 and 934 by matching factors method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

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 932 and 934. The biggest common factor number is the GCF number.
So the greatest common factor 932 and 934 is 2.

Also check out the Least Common Multiple of 932 and 934

Properties of GCF 932 and 934

(i) The GCF of 932 and 934 is associative

GCF of 932 and 934 = GCF of 934 and 932

Related Greatest Common Factor of 932

Related Greatest Common Factor of 934

Frequently Asked Questions on GCF of 932 and 934

1. What is the GCF of 932 and 934?

Answer: GCF of 932 and 934 is 2.

2. What are the Factors of 932?

Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.

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 932 and 934?

Answer:

Greatest Common Factor of 932 and 934 = 2

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

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 932 and 934 is 2