Greatest Common Factor of 6620 and 6624

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 6620, 6624 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6620 and 6624 is 4.

GCF(6620,6624) = 4

GCF of 6620 and 6624

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

GCF of:
and

Greatest Common Factor of 6620 and 6624

GCF of 6620 and 6624 is 4

Prime Factorization of 6620


2 6620
2 3310
5 1655
331 331
1

Prime factors of 6620 are 2,5,331. Prime factorization of 6620 in exponential form is:

6620 = 22×51×3311

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

∴ So by taking common prime factors GCF of 6620 and 6624 is 4

Greatest Common Factor of 6620 and 6624 by matching factors method

Factors of 6620

List of positive integer factors of 6620 that divides 6620 without a remainder.

1,2,4,5,10,20,331,662,1324,1655,3310,6620

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

Greatest Common Factor

We found the factors and prime factorization of 6620 and 6624. The biggest common factor number is the GCF number.
So the greatest common factor 6620 and 6624 is 4.

Also check out the Least Common Multiple of 6620 and 6624

Properties of GCF 6620 and 6624

(i) The GCF of 6620 and 6624 is associative

GCF of 6620 and 6624 = GCF of 6624 and 6620

Related Greatest Common Factor of 6620

Related Greatest Common Factor of 6624

Frequently Asked Questions on GCF of 6620 and 6624

1. What is the GCF of 6620 and 6624?

Answer: GCF of 6620 and 6624 is 4.

2. What are the Factors of 6620?

Answer: Factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620. There are 12 integers that are factors of 6620. The greatest factor of 6620 is 6620.

3. 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.

4. How to Find the GCF of 6620 and 6624?

Answer:

Greatest Common Factor of 6620 and 6624 = 4

Step 1: Find the prime factorization of 6620

6620 = 2 x 2 x 5 x 331

Step 2: Find the prime factorization of 6624

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6620 and 6624 is 4