Greatest Common Factor of 9678 and 9684

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, 9684 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9678 and 9684 is 6.

GCF(9678,9684) = 6

GCF of 9678 and 9684

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

GCF of:
and

Greatest Common Factor of 9678 and 9684

GCF of 9678 and 9684 is 6

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 9684


2 9684
2 4842
3 2421
3 807
269 269
1

Prime factors of 9684 are 2,3,269. Prime factorization of 9684 in exponential form is:

9684 = 22×32×2691

∴ So by taking common prime factors GCF of 9678 and 9684 is 6

Greatest Common Factor of 9678 and 9684 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 9684

List of positive integer factors of 9684 that divides 9684 without a remainder.

1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684

Greatest Common Factor

We found the factors and prime factorization of 9678 and 9684. The biggest common factor number is the GCF number.
So the greatest common factor 9678 and 9684 is 6.

Also check out the Least Common Multiple of 9678 and 9684

Properties of GCF 9678 and 9684

(i) The GCF of 9678 and 9684 is associative

GCF of 9678 and 9684 = GCF of 9684 and 9678

Related Greatest Common Factor of 9678

Related Greatest Common Factor of 9684

Frequently Asked Questions on GCF of 9678 and 9684

1. What is the GCF of 9678 and 9684?

Answer: GCF of 9678 and 9684 is 6.

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 9684?

Answer: Factors of 9684 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684. There are 18 integers that are factors of 9684. The greatest factor of 9684 is 9684.

4. How to Find the GCF of 9678 and 9684?

Answer:

Greatest Common Factor of 9678 and 9684 = 6

Step 1: Find the prime factorization of 9678

9678 = 2 x 3 x 1613

Step 2: Find the prime factorization of 9684

9684 = 2 x 2 x 3 x 3 x 269

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9678 and 9684 is 6