Greatest Common Factor of 9676 and 9678

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 9676, 9678 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9676 and 9678 is 2.

GCF(9676,9678) = 2

GCF of 9676 and 9678

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

GCF of:
and

Greatest Common Factor of 9676 and 9678

GCF of 9676 and 9678 is 2

Prime Factorization of 9676


2 9676
2 4838
41 2419
59 59
1

Prime factors of 9676 are 2,41,59. Prime factorization of 9676 in exponential form is:

9676 = 22×411×591

Prime Factorization of 9678


2 9678
3 4839
1613 1613
1

Prime factors of 9678 are 2,3,1613. Prime factorization of 9678 in exponential form is:

9678 = 21×31×16131

∴ So by taking common prime factors GCF of 9676 and 9678 is 2

Greatest Common Factor of 9676 and 9678 by matching factors method

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Factors of 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1,2,3,6,1613,3226,4839,9678

Greatest Common Factor

We found the factors and prime factorization of 9676 and 9678. The biggest common factor number is the GCF number.
So the greatest common factor 9676 and 9678 is 2.

Also check out the Least Common Multiple of 9676 and 9678

Properties of GCF 9676 and 9678

(i) The GCF of 9676 and 9678 is associative

GCF of 9676 and 9678 = GCF of 9678 and 9676

Related Greatest Common Factor of 9676

Related Greatest Common Factor of 9678

Frequently Asked Questions on GCF of 9676 and 9678

1. What is the GCF of 9676 and 9678?

Answer: GCF of 9676 and 9678 is 2.

2. What are the Factors of 9676?

Answer: Factors of 9676 are 1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676. There are 12 integers that are factors of 9676. The greatest factor of 9676 is 9676.

3. What are the Factors of 9678?

Answer: Factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678. There are 8 integers that are factors of 9678. The greatest factor of 9678 is 9678.

4. How to Find the GCF of 9676 and 9678?

Answer:

Greatest Common Factor of 9676 and 9678 = 2

Step 1: Find the prime factorization of 9676

9676 = 2 x 2 x 41 x 59

Step 2: Find the prime factorization of 9678

9678 = 2 x 3 x 1613

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9676 and 9678 is 2