Greatest Common Factor of 6624 and 6630

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, 6630 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6624 and 6630 is 6.

GCF(6624,6630) = 6

GCF of 6624 and 6630

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

GCF of:
and

Greatest Common Factor of 6624 and 6630

GCF of 6624 and 6630 is 6

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 6630


2 6630
3 3315
5 1105
13 221
17 17
1

Prime factors of 6630 are 2,3,5,13,17. Prime factorization of 6630 in exponential form is:

6630 = 21×31×51×131×171

∴ So by taking common prime factors GCF of 6624 and 6630 is 6

Greatest Common Factor of 6624 and 6630 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 6630

List of positive integer factors of 6630 that divides 6630 without a remainder.

1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630

Greatest Common Factor

We found the factors and prime factorization of 6624 and 6630. The biggest common factor number is the GCF number.
So the greatest common factor 6624 and 6630 is 6.

Also check out the Least Common Multiple of 6624 and 6630

Properties of GCF 6624 and 6630

(i) The GCF of 6624 and 6630 is associative

GCF of 6624 and 6630 = GCF of 6630 and 6624

Related Greatest Common Factor of 6624

Related Greatest Common Factor of 6630

Frequently Asked Questions on GCF of 6624 and 6630

1. What is the GCF of 6624 and 6630?

Answer: GCF of 6624 and 6630 is 6.

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 6630?

Answer: Factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630. There are 32 integers that are factors of 6630. The greatest factor of 6630 is 6630.

4. How to Find the GCF of 6624 and 6630?

Answer:

Greatest Common Factor of 6624 and 6630 = 6

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 6630

6630 = 2 x 3 x 5 x 13 x 17

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6624 and 6630 is 6