Greatest Common Factor of 914 and 916

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

Greatest common factor (GCF) of 914 and 916 is 2.

GCF(914,916) = 2

GCF of 914 and 916

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

GCF of:
and

Greatest Common Factor of 914 and 916

GCF of 914 and 916 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 916


2 916
2 458
229 229
1

Prime factors of 916 are 2,229. Prime factorization of 916 in exponential form is:

916 = 22×2291

∴ So by taking common prime factors GCF of 914 and 916 is 2

Greatest Common Factor of 914 and 916 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 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors and prime factorization of 914 and 916. The biggest common factor number is the GCF number.
So the greatest common factor 914 and 916 is 2.

Also check out the Least Common Multiple of 914 and 916

Properties of GCF 914 and 916

(i) The GCF of 914 and 916 is associative

GCF of 914 and 916 = GCF of 916 and 914

Related Greatest Common Factor of 914

Related Greatest Common Factor of 916

Frequently Asked Questions on GCF of 914 and 916

1. What is the GCF of 914 and 916?

Answer: GCF of 914 and 916 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 916?

Answer: Factors of 916 are 1, 2, 4, 229, 458, 916. There are 6 integers that are factors of 916. The greatest factor of 916 is 916.

4. How to Find the GCF of 914 and 916?

Answer:

Greatest Common Factor of 914 and 916 = 2

Step 1: Find the prime factorization of 914

914 = 2 x 457

Step 2: Find the prime factorization of 916

916 = 2 x 2 x 229

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 916 is 2