Greatest Common Factor of 926 and 931

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 926, 931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 926 and 931 is 1.

GCF(926,931) = 1

GCF of 926 and 931

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

GCF of:
and

Greatest Common Factor of 926 and 931

GCF of 926 and 931 is 1

Prime Factorization of 926


2 926
463 463
1

Prime factors of 926 are 2,463. Prime factorization of 926 in exponential form is:

926 = 21×4631

Prime Factorization of 931


7 931
7 133
19 19
1

Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:

931 = 72×191

∴ So by taking common prime factors GCF of 926 and 931 is 1

Greatest Common Factor of 926 and 931 by matching factors method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors and prime factorization of 926 and 931. The biggest common factor number is the GCF number.
So the greatest common factor 926 and 931 is 1.

Also check out the Least Common Multiple of 926 and 931

Properties of GCF 926 and 931

(i) The GCF of 926 and 931 is associative

GCF of 926 and 931 = GCF of 931 and 926

Related Greatest Common Factor of 926

Related Greatest Common Factor of 931

Frequently Asked Questions on GCF of 926 and 931

1. What is the GCF of 926 and 931?

Answer: GCF of 926 and 931 is 1.

2. What are the Factors of 926?

Answer: Factors of 926 are 1, 2, 463, 926. There are 4 integers that are factors of 926. The greatest factor of 926 is 926.

3. What are the Factors of 931?

Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.

4. How to Find the GCF of 926 and 931?

Answer:

Greatest Common Factor of 926 and 931 = 1

Step 1: Find the prime factorization of 926

926 = 2 x 463

Step 2: Find the prime factorization of 931

931 = 7 x 7 x 19

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 926 and 931 is 1