Greatest Common Factor of 6920 and 6922

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, 6922 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6920 and 6922 is 2.

GCF(6920,6922) = 2

GCF of 6920 and 6922

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

GCF of:
and

Greatest Common Factor of 6920 and 6922

GCF of 6920 and 6922 is 2

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 6922


2 6922
3461 3461
1

Prime factors of 6922 are 2,3461. Prime factorization of 6922 in exponential form is:

6922 = 21×34611

∴ So by taking common prime factors GCF of 6920 and 6922 is 2

Greatest Common Factor of 6920 and 6922 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 6922

List of positive integer factors of 6922 that divides 6922 without a remainder.

1,2,3461,6922

Greatest Common Factor

We found the factors and prime factorization of 6920 and 6922. The biggest common factor number is the GCF number.
So the greatest common factor 6920 and 6922 is 2.

Also check out the Least Common Multiple of 6920 and 6922

Properties of GCF 6920 and 6922

(i) The GCF of 6920 and 6922 is associative

GCF of 6920 and 6922 = GCF of 6922 and 6920

Related Greatest Common Factor of 6920

Related Greatest Common Factor of 6922

Frequently Asked Questions on GCF of 6920 and 6922

1. What is the GCF of 6920 and 6922?

Answer: GCF of 6920 and 6922 is 2.

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 6922?

Answer: Factors of 6922 are 1, 2, 3461, 6922. There are 4 integers that are factors of 6922. The greatest factor of 6922 is 6922.

4. How to Find the GCF of 6920 and 6922?

Answer:

Greatest Common Factor of 6920 and 6922 = 2

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 6922

6922 = 2 x 3461

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 6920 and 6922 is 2