Greatest Common Factor of 6920 and 6928

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 6920, 6928 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6920 and 6928 is 8.

GCF(6920,6928) = 8

GCF of 6920 and 6928

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

GCF of:
and

Greatest Common Factor of 6920 and 6928

GCF of 6920 and 6928 is 8

Prime Factorization of 6920


2 6920
2 3460
2 1730
5 865
173 173
1

Prime factors of 6920 are 2,5,173. Prime factorization of 6920 in exponential form is:

6920 = 23×51×1731

Prime Factorization of 6928


2 6928
2 3464
2 1732
2 866
433 433
1

Prime factors of 6928 are 2,433. Prime factorization of 6928 in exponential form is:

6928 = 24×4331

∴ So by taking common prime factors GCF of 6920 and 6928 is 8

Greatest Common Factor of 6920 and 6928 by matching factors method

Factors of 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920

Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1,2,4,8,16,433,866,1732,3464,6928

Greatest Common Factor

We found the factors and prime factorization of 6920 and 6928. The biggest common factor number is the GCF number.
So the greatest common factor 6920 and 6928 is 8.

Also check out the Least Common Multiple of 6920 and 6928

Properties of GCF 6920 and 6928

(i) The GCF of 6920 and 6928 is associative

GCF of 6920 and 6928 = GCF of 6928 and 6920

Related Greatest Common Factor of 6920

Related Greatest Common Factor of 6928

Frequently Asked Questions on GCF of 6920 and 6928

1. What is the GCF of 6920 and 6928?

Answer: GCF of 6920 and 6928 is 8.

2. What are the Factors of 6920?

Answer: Factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920. There are 16 integers that are factors of 6920. The greatest factor of 6920 is 6920.

3. What are the Factors of 6928?

Answer: Factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928. There are 10 integers that are factors of 6928. The greatest factor of 6928 is 6928.

4. How to Find the GCF of 6920 and 6928?

Answer:

Greatest Common Factor of 6920 and 6928 = 8

Step 1: Find the prime factorization of 6920

6920 = 2 x 2 x 2 x 5 x 173

Step 2: Find the prime factorization of 6928

6928 = 2 x 2 x 2 x 2 x 433

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6920 and 6928 is 8