Greatest Common Factor of 6636 and 6643

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 6636, 6643 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6636 and 6643 is 7.

GCF(6636,6643) = 7

GCF of 6636 and 6643

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

GCF of:
and

Greatest Common Factor of 6636 and 6643

GCF of 6636 and 6643 is 7

Prime Factorization of 6636


2 6636
2 3318
3 1659
7 553
79 79
1

Prime factors of 6636 are 2,3,7,79. Prime factorization of 6636 in exponential form is:

6636 = 22×31×71×791

Prime Factorization of 6643


7 6643
13 949
73 73
1

Prime factors of 6643 are 7,13,73. Prime factorization of 6643 in exponential form is:

6643 = 71×131×731

∴ So by taking common prime factors GCF of 6636 and 6643 is 7

Greatest Common Factor of 6636 and 6643 by matching factors method

Factors of 6636

List of positive integer factors of 6636 that divides 6636 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636

Factors of 6643

List of positive integer factors of 6643 that divides 6643 without a remainder.

1,7,13,73,91,511,949,6643

Greatest Common Factor

We found the factors and prime factorization of 6636 and 6643. The biggest common factor number is the GCF number.
So the greatest common factor 6636 and 6643 is 7.

Also check out the Least Common Multiple of 6636 and 6643

Properties of GCF 6636 and 6643

(i) The GCF of 6636 and 6643 is associative

GCF of 6636 and 6643 = GCF of 6643 and 6636

Related Greatest Common Factor of 6636

Related Greatest Common Factor of 6643

Frequently Asked Questions on GCF of 6636 and 6643

1. What is the GCF of 6636 and 6643?

Answer: GCF of 6636 and 6643 is 7.

2. What are the Factors of 6636?

Answer: Factors of 6636 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636. There are 24 integers that are factors of 6636. The greatest factor of 6636 is 6636.

3. What are the Factors of 6643?

Answer: Factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643. There are 8 integers that are factors of 6643. The greatest factor of 6643 is 6643.

4. How to Find the GCF of 6636 and 6643?

Answer:

Greatest Common Factor of 6636 and 6643 = 7

Step 1: Find the prime factorization of 6636

6636 = 2 x 2 x 3 x 7 x 79

Step 2: Find the prime factorization of 6643

6643 = 7 x 13 x 73

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6636 and 6643 is 7