Greatest Common Factor of 6624 and 6629

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 6624, 6629 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6624 and 6629 is 1.

GCF(6624,6629) = 1

GCF of 6624 and 6629

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

GCF of:
and

Greatest Common Factor of 6624 and 6629

GCF of 6624 and 6629 is 1

Prime Factorization of 6624


2 6624
2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 6624 are 2,3,23. Prime factorization of 6624 in exponential form is:

6624 = 25×32×231

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

∴ So by taking common prime factors GCF of 6624 and 6629 is 1

Greatest Common Factor of 6624 and 6629 by matching factors method

Factors of 6624

List of positive integer factors of 6624 that divides 6624 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624

Factors of 6629

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

1,7,947,6629

Greatest Common Factor

We found the factors and prime factorization of 6624 and 6629. The biggest common factor number is the GCF number.
So the greatest common factor 6624 and 6629 is 1.

Also check out the Least Common Multiple of 6624 and 6629

Properties of GCF 6624 and 6629

(i) The GCF of 6624 and 6629 is associative

GCF of 6624 and 6629 = GCF of 6629 and 6624

Related Greatest Common Factor of 6624

Related Greatest Common Factor of 6629

Frequently Asked Questions on GCF of 6624 and 6629

1. What is the GCF of 6624 and 6629?

Answer: GCF of 6624 and 6629 is 1.

2. What are the Factors of 6624?

Answer: Factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624. There are 36 integers that are factors of 6624. The greatest factor of 6624 is 6624.

3. 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.

4. How to Find the GCF of 6624 and 6629?

Answer:

Greatest Common Factor of 6624 and 6629 = 1

Step 1: Find the prime factorization of 6624

6624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 6629

6629 = 7 x 947

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6624 and 6629 is 1