Greatest Common Factor of 6608 and 6612

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 6608, 6612 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6608 and 6612 is 4.

GCF(6608,6612) = 4

GCF of 6608 and 6612

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

GCF of:
and

Greatest Common Factor of 6608 and 6612

GCF of 6608 and 6612 is 4

Prime Factorization of 6608


2 6608
2 3304
2 1652
2 826
7 413
59 59
1

Prime factors of 6608 are 2,7,59. Prime factorization of 6608 in exponential form is:

6608 = 24×71×591

Prime Factorization of 6612


2 6612
2 3306
3 1653
19 551
29 29
1

Prime factors of 6612 are 2,3,19,29. Prime factorization of 6612 in exponential form is:

6612 = 22×31×191×291

∴ So by taking common prime factors GCF of 6608 and 6612 is 4

Greatest Common Factor of 6608 and 6612 by matching factors method

Factors of 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608

Factors of 6612

List of positive integer factors of 6612 that divides 6612 without a remainder.

1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612

Greatest Common Factor

We found the factors and prime factorization of 6608 and 6612. The biggest common factor number is the GCF number.
So the greatest common factor 6608 and 6612 is 4.

Also check out the Least Common Multiple of 6608 and 6612

Properties of GCF 6608 and 6612

(i) The GCF of 6608 and 6612 is associative

GCF of 6608 and 6612 = GCF of 6612 and 6608

Related Greatest Common Factor of 6608

Related Greatest Common Factor of 6612

Frequently Asked Questions on GCF of 6608 and 6612

1. What is the GCF of 6608 and 6612?

Answer: GCF of 6608 and 6612 is 4.

2. What are the Factors of 6608?

Answer: Factors of 6608 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608. There are 20 integers that are factors of 6608. The greatest factor of 6608 is 6608.

3. What are the Factors of 6612?

Answer: Factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612. There are 24 integers that are factors of 6612. The greatest factor of 6612 is 6612.

4. How to Find the GCF of 6608 and 6612?

Answer:

Greatest Common Factor of 6608 and 6612 = 4

Step 1: Find the prime factorization of 6608

6608 = 2 x 2 x 2 x 2 x 7 x 59

Step 2: Find the prime factorization of 6612

6612 = 2 x 2 x 3 x 19 x 29

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 6608 and 6612 is 4