Greatest Common Factor of 6642 and 6646

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 6642, 6646 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6642 and 6646 is 2.

GCF(6642,6646) = 2

GCF of 6642 and 6646

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

GCF of:
and

Greatest Common Factor of 6642 and 6646

GCF of 6642 and 6646 is 2

Prime Factorization of 6642


2 6642
3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 6642 are 2,3,41. Prime factorization of 6642 in exponential form is:

6642 = 21×34×411

Prime Factorization of 6646


2 6646
3323 3323
1

Prime factors of 6646 are 2,3323. Prime factorization of 6646 in exponential form is:

6646 = 21×33231

∴ So by taking common prime factors GCF of 6642 and 6646 is 2

Greatest Common Factor of 6642 and 6646 by matching factors method

Factors of 6642

List of positive integer factors of 6642 that divides 6642 without a remainder.

1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642

Factors of 6646

List of positive integer factors of 6646 that divides 6646 without a remainder.

1,2,3323,6646

Greatest Common Factor

We found the factors and prime factorization of 6642 and 6646. The biggest common factor number is the GCF number.
So the greatest common factor 6642 and 6646 is 2.

Also check out the Least Common Multiple of 6642 and 6646

Properties of GCF 6642 and 6646

(i) The GCF of 6642 and 6646 is associative

GCF of 6642 and 6646 = GCF of 6646 and 6642

Related Greatest Common Factor of 6642

Related Greatest Common Factor of 6646

Frequently Asked Questions on GCF of 6642 and 6646

1. What is the GCF of 6642 and 6646?

Answer: GCF of 6642 and 6646 is 2.

2. What are the Factors of 6642?

Answer: Factors of 6642 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642. There are 20 integers that are factors of 6642. The greatest factor of 6642 is 6642.

3. What are the Factors of 6646?

Answer: Factors of 6646 are 1, 2, 3323, 6646. There are 4 integers that are factors of 6646. The greatest factor of 6646 is 6646.

4. How to Find the GCF of 6642 and 6646?

Answer:

Greatest Common Factor of 6642 and 6646 = 2

Step 1: Find the prime factorization of 6642

6642 = 2 x 3 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 6646

6646 = 2 x 3323

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 6642 and 6646 is 2