Greatest Common Factor of 7676 and 7684

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 7676, 7684 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7676 and 7684 is 4.

GCF(7676,7684) = 4

GCF of 7676 and 7684

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

GCF of:
and

Greatest Common Factor of 7676 and 7684

GCF of 7676 and 7684 is 4

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

Prime Factorization of 7684


2 7684
2 3842
17 1921
113 113
1

Prime factors of 7684 are 2,17,113. Prime factorization of 7684 in exponential form is:

7684 = 22×171×1131

∴ So by taking common prime factors GCF of 7676 and 7684 is 4

Greatest Common Factor of 7676 and 7684 by matching factors method

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

Factors of 7684

List of positive integer factors of 7684 that divides 7684 without a remainder.

1,2,4,17,34,68,113,226,452,1921,3842,7684

Greatest Common Factor

We found the factors and prime factorization of 7676 and 7684. The biggest common factor number is the GCF number.
So the greatest common factor 7676 and 7684 is 4.

Also check out the Least Common Multiple of 7676 and 7684

Properties of GCF 7676 and 7684

(i) The GCF of 7676 and 7684 is associative

GCF of 7676 and 7684 = GCF of 7684 and 7676

Related Greatest Common Factor of 7676

Related Greatest Common Factor of 7684

Frequently Asked Questions on GCF of 7676 and 7684

1. What is the GCF of 7676 and 7684?

Answer: GCF of 7676 and 7684 is 4.

2. 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.

3. What are the Factors of 7684?

Answer: Factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684. There are 12 integers that are factors of 7684. The greatest factor of 7684 is 7684.

4. How to Find the GCF of 7676 and 7684?

Answer:

Greatest Common Factor of 7676 and 7684 = 4

Step 1: Find the prime factorization of 7676

7676 = 2 x 2 x 19 x 101

Step 2: Find the prime factorization of 7684

7684 = 2 x 2 x 17 x 113

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 7676 and 7684 is 4