Greatest Common Factor of 932 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 932, 935 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 932 and 935 is 1.

GCF(932,935) = 1

GCF of 932 and 935

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

GCF of:
and

Greatest Common Factor of 932 and 935

GCF of 932 and 935 is 1

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 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 932 and 935 is 1

Greatest Common Factor of 932 and 935 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 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 932 and 935. The biggest common factor number is the GCF number.
So the greatest common factor 932 and 935 is 1.

Also check out the Least Common Multiple of 932 and 935

Properties of GCF 932 and 935

(i) The GCF of 932 and 935 is associative

GCF of 932 and 935 = GCF of 935 and 932

Related Greatest Common Factor of 932

Related Greatest Common Factor of 935

Frequently Asked Questions on GCF of 932 and 935

1. What is the GCF of 932 and 935?

Answer: GCF of 932 and 935 is 1.

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 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 932 and 935?

Answer:

Greatest Common Factor of 932 and 935 = 1

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

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 932 and 935 is 1