Greatest Common Factor of 9678 and 9682

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 9678, 9682 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9678 and 9682 is 2.

GCF(9678,9682) = 2

GCF of 9678 and 9682

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

GCF of:
and

Greatest Common Factor of 9678 and 9682

GCF of 9678 and 9682 is 2

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

Prime Factorization of 9682


2 9682
47 4841
103 103
1

Prime factors of 9682 are 2,47,103. Prime factorization of 9682 in exponential form is:

9682 = 21×471×1031

∴ So by taking common prime factors GCF of 9678 and 9682 is 2

Greatest Common Factor of 9678 and 9682 by matching factors method

Factors of 9678

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

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

Factors of 9682

List of positive integer factors of 9682 that divides 9682 without a remainder.

1,2,47,94,103,206,4841,9682

Greatest Common Factor

We found the factors and prime factorization of 9678 and 9682. The biggest common factor number is the GCF number.
So the greatest common factor 9678 and 9682 is 2.

Also check out the Least Common Multiple of 9678 and 9682

Properties of GCF 9678 and 9682

(i) The GCF of 9678 and 9682 is associative

GCF of 9678 and 9682 = GCF of 9682 and 9678

Related Greatest Common Factor of 9678

Related Greatest Common Factor of 9682

Frequently Asked Questions on GCF of 9678 and 9682

1. What is the GCF of 9678 and 9682?

Answer: GCF of 9678 and 9682 is 2.

2. 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.

3. What are the Factors of 9682?

Answer: Factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682. There are 8 integers that are factors of 9682. The greatest factor of 9682 is 9682.

4. How to Find the GCF of 9678 and 9682?

Answer:

Greatest Common Factor of 9678 and 9682 = 2

Step 1: Find the prime factorization of 9678

9678 = 2 x 3 x 1613

Step 2: Find the prime factorization of 9682

9682 = 2 x 47 x 103

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 9678 and 9682 is 2