Greatest Common Factor of 6629 and 6636

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 6629, 6636 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6629 and 6636 is 7.

GCF(6629,6636) = 7

GCF of 6629 and 6636

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

GCF of:
and

Greatest Common Factor of 6629 and 6636

GCF of 6629 and 6636 is 7

Prime Factorization of 6629


7 6629
947 947
1

Prime factors of 6629 are 7,947. Prime factorization of 6629 in exponential form is:

6629 = 71×9471

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

∴ So by taking common prime factors GCF of 6629 and 6636 is 7

Greatest Common Factor of 6629 and 6636 by matching factors method

Factors of 6629

List of positive integer factors of 6629 that divides 6629 without a remainder.

1,7,947,6629

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

Greatest Common Factor

We found the factors and prime factorization of 6629 and 6636. The biggest common factor number is the GCF number.
So the greatest common factor 6629 and 6636 is 7.

Also check out the Least Common Multiple of 6629 and 6636

Properties of GCF 6629 and 6636

(i) The GCF of 6629 and 6636 is associative

GCF of 6629 and 6636 = GCF of 6636 and 6629

Related Greatest Common Factor of 6629

Related Greatest Common Factor of 6636

Frequently Asked Questions on GCF of 6629 and 6636

1. What is the GCF of 6629 and 6636?

Answer: GCF of 6629 and 6636 is 7.

2. What are the Factors of 6629?

Answer: Factors of 6629 are 1, 7, 947, 6629. There are 4 integers that are factors of 6629. The greatest factor of 6629 is 6629.

3. 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.

4. How to Find the GCF of 6629 and 6636?

Answer:

Greatest Common Factor of 6629 and 6636 = 7

Step 1: Find the prime factorization of 6629

6629 = 7 x 947

Step 2: Find the prime factorization of 6636

6636 = 2 x 2 x 3 x 7 x 79

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 6629 and 6636 is 7