Greatest Common Factor of 9672 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 9672, 9678 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9672 and 9678 is 6.

GCF(9672,9678) = 6

GCF of 9672 and 9678

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

GCF of:
and

Greatest Common Factor of 9672 and 9678

GCF of 9672 and 9678 is 6

Prime Factorization of 9672


2 9672
2 4836
2 2418
3 1209
13 403
31 31
1

Prime factors of 9672 are 2,3,13,31. Prime factorization of 9672 in exponential form is:

9672 = 23×31×131×311

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 9672 and 9678 is 6

Greatest Common Factor of 9672 and 9678 by matching factors method

Factors of 9672

List of positive integer factors of 9672 that divides 9672 without a remainder.

1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672

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 9672 and 9678. The biggest common factor number is the GCF number.
So the greatest common factor 9672 and 9678 is 6.

Also check out the Least Common Multiple of 9672 and 9678

Properties of GCF 9672 and 9678

(i) The GCF of 9672 and 9678 is associative

GCF of 9672 and 9678 = GCF of 9678 and 9672

Related Greatest Common Factor of 9672

Related Greatest Common Factor of 9678

Frequently Asked Questions on GCF of 9672 and 9678

1. What is the GCF of 9672 and 9678?

Answer: GCF of 9672 and 9678 is 6.

2. What are the Factors of 9672?

Answer: Factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672. There are 32 integers that are factors of 9672. The greatest factor of 9672 is 9672.

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 9672 and 9678?

Answer:

Greatest Common Factor of 9672 and 9678 = 6

Step 1: Find the prime factorization of 9672

9672 = 2 x 2 x 2 x 3 x 13 x 31

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 9672 and 9678 is 6