Greatest Common Factor of 7668 and 7676

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 7668, 7676 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7668 and 7676 is 4.

GCF(7668,7676) = 4

GCF of 7668 and 7676

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

GCF of:
and

Greatest Common Factor of 7668 and 7676

GCF of 7668 and 7676 is 4

Prime Factorization of 7668


2 7668
2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 7668 are 2,3,71. Prime factorization of 7668 in exponential form is:

7668 = 22×33×711

Prime Factorization of 7676


2 7676
2 3838
19 1919
101 101
1

Prime factors of 7676 are 2,19,101. Prime factorization of 7676 in exponential form is:

7676 = 22×191×1011

∴ So by taking common prime factors GCF of 7668 and 7676 is 4

Greatest Common Factor of 7668 and 7676 by matching factors method

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1,2,4,19,38,76,101,202,404,1919,3838,7676

Greatest Common Factor

We found the factors and prime factorization of 7668 and 7676. The biggest common factor number is the GCF number.
So the greatest common factor 7668 and 7676 is 4.

Also check out the Least Common Multiple of 7668 and 7676

Properties of GCF 7668 and 7676

(i) The GCF of 7668 and 7676 is associative

GCF of 7668 and 7676 = GCF of 7676 and 7668

Related Greatest Common Factor of 7668

Related Greatest Common Factor of 7676

Frequently Asked Questions on GCF of 7668 and 7676

1. What is the GCF of 7668 and 7676?

Answer: GCF of 7668 and 7676 is 4.

2. What are the Factors of 7668?

Answer: Factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668. There are 24 integers that are factors of 7668. The greatest factor of 7668 is 7668.

3. What are the Factors of 7676?

Answer: Factors of 7676 are 1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676. There are 12 integers that are factors of 7676. The greatest factor of 7676 is 7676.

4. How to Find the GCF of 7668 and 7676?

Answer:

Greatest Common Factor of 7668 and 7676 = 4

Step 1: Find the prime factorization of 7668

7668 = 2 x 2 x 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 7676

7676 = 2 x 2 x 19 x 101

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 7668 and 7676 is 4