Greatest Common Factor of 8916 and 8920

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 8916, 8920 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8916 and 8920 is 4.

GCF(8916,8920) = 4

GCF of 8916 and 8920

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

GCF of:
and

Greatest Common Factor of 8916 and 8920

GCF of 8916 and 8920 is 4

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

Prime Factorization of 8920


2 8920
2 4460
2 2230
5 1115
223 223
1

Prime factors of 8920 are 2,5,223. Prime factorization of 8920 in exponential form is:

8920 = 23×51×2231

∴ So by taking common prime factors GCF of 8916 and 8920 is 4

Greatest Common Factor of 8916 and 8920 by matching factors method

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

Factors of 8920

List of positive integer factors of 8920 that divides 8920 without a remainder.

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Greatest Common Factor

We found the factors and prime factorization of 8916 and 8920. The biggest common factor number is the GCF number.
So the greatest common factor 8916 and 8920 is 4.

Also check out the Least Common Multiple of 8916 and 8920

Properties of GCF 8916 and 8920

(i) The GCF of 8916 and 8920 is associative

GCF of 8916 and 8920 = GCF of 8920 and 8916

Related Greatest Common Factor of 8916

Related Greatest Common Factor of 8920

Frequently Asked Questions on GCF of 8916 and 8920

1. What is the GCF of 8916 and 8920?

Answer: GCF of 8916 and 8920 is 4.

2. 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.

3. What are the Factors of 8920?

Answer: Factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920. There are 16 integers that are factors of 8920. The greatest factor of 8920 is 8920.

4. How to Find the GCF of 8916 and 8920?

Answer:

Greatest Common Factor of 8916 and 8920 = 4

Step 1: Find the prime factorization of 8916

8916 = 2 x 2 x 3 x 743

Step 2: Find the prime factorization of 8920

8920 = 2 x 2 x 2 x 5 x 223

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8916 and 8920 is 4