Greatest Common Factor of 8913 and 8916

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 8913, 8916 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8913 and 8916 is 3.

GCF(8913,8916) = 3

GCF of 8913 and 8916

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

GCF of:
and

Greatest Common Factor of 8913 and 8916

GCF of 8913 and 8916 is 3

Prime Factorization of 8913


3 8913
2971 2971
1

Prime factors of 8913 are 3,2971. Prime factorization of 8913 in exponential form is:

8913 = 31×29711

Prime Factorization of 8916


2 8916
2 4458
3 2229
743 743
1

Prime factors of 8916 are 2,3,743. Prime factorization of 8916 in exponential form is:

8916 = 22×31×7431

∴ So by taking common prime factors GCF of 8913 and 8916 is 3

Greatest Common Factor of 8913 and 8916 by matching factors method

Factors of 8913

List of positive integer factors of 8913 that divides 8913 without a remainder.

1,3,2971,8913

Factors of 8916

List of positive integer factors of 8916 that divides 8916 without a remainder.

1,2,3,4,6,12,743,1486,2229,2972,4458,8916

Greatest Common Factor

We found the factors and prime factorization of 8913 and 8916. The biggest common factor number is the GCF number.
So the greatest common factor 8913 and 8916 is 3.

Also check out the Least Common Multiple of 8913 and 8916

Properties of GCF 8913 and 8916

(i) The GCF of 8913 and 8916 is associative

GCF of 8913 and 8916 = GCF of 8916 and 8913

Related Greatest Common Factor of 8913

Related Greatest Common Factor of 8916

Frequently Asked Questions on GCF of 8913 and 8916

1. What is the GCF of 8913 and 8916?

Answer: GCF of 8913 and 8916 is 3.

2. What are the Factors of 8913?

Answer: Factors of 8913 are 1, 3, 2971, 8913. There are 4 integers that are factors of 8913. The greatest factor of 8913 is 8913.

3. What are the Factors of 8916?

Answer: Factors of 8916 are 1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916. There are 12 integers that are factors of 8916. The greatest factor of 8916 is 8916.

4. How to Find the GCF of 8913 and 8916?

Answer:

Greatest Common Factor of 8913 and 8916 = 3

Step 1: Find the prime factorization of 8913

8913 = 3 x 2971

Step 2: Find the prime factorization of 8916

8916 = 2 x 2 x 3 x 743

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8913 and 8916 is 3