Greatest Common Factor of 920 and 926

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 920, 926 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 920 and 926 is 2.

GCF(920,926) = 2

GCF of 920 and 926

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

GCF of:
and

Greatest Common Factor of 920 and 926

GCF of 920 and 926 is 2

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2,5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

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

∴ So by taking common prime factors GCF of 920 and 926 is 2

Greatest Common Factor of 920 and 926 by matching factors method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 926

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

1,2,463,926

Greatest Common Factor

We found the factors and prime factorization of 920 and 926. The biggest common factor number is the GCF number.
So the greatest common factor 920 and 926 is 2.

Also check out the Least Common Multiple of 920 and 926

Properties of GCF 920 and 926

(i) The GCF of 920 and 926 is associative

GCF of 920 and 926 = GCF of 926 and 920

Related Greatest Common Factor of 920

Related Greatest Common Factor of 926

Frequently Asked Questions on GCF of 920 and 926

1. What is the GCF of 920 and 926?

Answer: GCF of 920 and 926 is 2.

2. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

3. 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.

4. How to Find the GCF of 920 and 926?

Answer:

Greatest Common Factor of 920 and 926 = 2

Step 1: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 926

926 = 2 x 463

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 920 and 926 is 2