Greatest Common Factor of 914 and 920

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 914, 920 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 914 and 920 is 2.

GCF(914,920) = 2

GCF of 914 and 920

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

GCF of:
and

Greatest Common Factor of 914 and 920

GCF of 914 and 920 is 2

Prime Factorization of 914


2 914
457 457
1

Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:

914 = 21×4571

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

∴ So by taking common prime factors GCF of 914 and 920 is 2

Greatest Common Factor of 914 and 920 by matching factors method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

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

Greatest Common Factor

We found the factors and prime factorization of 914 and 920. The biggest common factor number is the GCF number.
So the greatest common factor 914 and 920 is 2.

Also check out the Least Common Multiple of 914 and 920

Properties of GCF 914 and 920

(i) The GCF of 914 and 920 is associative

GCF of 914 and 920 = GCF of 920 and 914

Related Greatest Common Factor of 914

Related Greatest Common Factor of 920

Frequently Asked Questions on GCF of 914 and 920

1. What is the GCF of 914 and 920?

Answer: GCF of 914 and 920 is 2.

2. What are the Factors of 914?

Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.

3. 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.

4. How to Find the GCF of 914 and 920?

Answer:

Greatest Common Factor of 914 and 920 = 2

Step 1: Find the prime factorization of 914

914 = 2 x 457

Step 2: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

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 914 and 920 is 2