Greatest Common Factor of 9678 and 9680

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, 9680 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9678 and 9680 is 2.

GCF(9678,9680) = 2

GCF of 9678 and 9680

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

GCF of:
and

Greatest Common Factor of 9678 and 9680

GCF of 9678 and 9680 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 9680


2 9680
2 4840
2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 9680 are 2,5,11. Prime factorization of 9680 in exponential form is:

9680 = 24×51×112

∴ So by taking common prime factors GCF of 9678 and 9680 is 2

Greatest Common Factor of 9678 and 9680 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 9680

List of positive integer factors of 9680 that divides 9680 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680

Greatest Common Factor

We found the factors and prime factorization of 9678 and 9680. The biggest common factor number is the GCF number.
So the greatest common factor 9678 and 9680 is 2.

Also check out the Least Common Multiple of 9678 and 9680

Properties of GCF 9678 and 9680

(i) The GCF of 9678 and 9680 is associative

GCF of 9678 and 9680 = GCF of 9680 and 9678

Related Greatest Common Factor of 9678

Related Greatest Common Factor of 9680

Frequently Asked Questions on GCF of 9678 and 9680

1. What is the GCF of 9678 and 9680?

Answer: GCF of 9678 and 9680 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 9680?

Answer: Factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680. There are 30 integers that are factors of 9680. The greatest factor of 9680 is 9680.

4. How to Find the GCF of 9678 and 9680?

Answer:

Greatest Common Factor of 9678 and 9680 = 2

Step 1: Find the prime factorization of 9678

9678 = 2 x 3 x 1613

Step 2: Find the prime factorization of 9680

9680 = 2 x 2 x 2 x 2 x 5 x 11 x 11

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 9680 is 2