Greatest Common Factor of 6722 and 6726

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 6722, 6726 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6722 and 6726 is 2.

GCF(6722,6726) = 2

GCF of 6722 and 6726

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

GCF of:
and

Greatest Common Factor of 6722 and 6726

GCF of 6722 and 6726 is 2

Prime Factorization of 6722


2 6722
3361 3361
1

Prime factors of 6722 are 2,3361. Prime factorization of 6722 in exponential form is:

6722 = 21×33611

Prime Factorization of 6726


2 6726
3 3363
19 1121
59 59
1

Prime factors of 6726 are 2,3,19,59. Prime factorization of 6726 in exponential form is:

6726 = 21×31×191×591

∴ So by taking common prime factors GCF of 6722 and 6726 is 2

Greatest Common Factor of 6722 and 6726 by matching factors method

Factors of 6722

List of positive integer factors of 6722 that divides 6722 without a remainder.

1,2,3361,6722

Factors of 6726

List of positive integer factors of 6726 that divides 6726 without a remainder.

1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726

Greatest Common Factor

We found the factors and prime factorization of 6722 and 6726. The biggest common factor number is the GCF number.
So the greatest common factor 6722 and 6726 is 2.

Also check out the Least Common Multiple of 6722 and 6726

Properties of GCF 6722 and 6726

(i) The GCF of 6722 and 6726 is associative

GCF of 6722 and 6726 = GCF of 6726 and 6722

Related Greatest Common Factor of 6722

Related Greatest Common Factor of 6726

Frequently Asked Questions on GCF of 6722 and 6726

1. What is the GCF of 6722 and 6726?

Answer: GCF of 6722 and 6726 is 2.

2. What are the Factors of 6722?

Answer: Factors of 6722 are 1, 2, 3361, 6722. There are 4 integers that are factors of 6722. The greatest factor of 6722 is 6722.

3. What are the Factors of 6726?

Answer: Factors of 6726 are 1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726. There are 16 integers that are factors of 6726. The greatest factor of 6726 is 6726.

4. How to Find the GCF of 6722 and 6726?

Answer:

Greatest Common Factor of 6722 and 6726 = 2

Step 1: Find the prime factorization of 6722

6722 = 2 x 3361

Step 2: Find the prime factorization of 6726

6726 = 2 x 3 x 19 x 59

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 6722 and 6726 is 2