Greatest Common Factor of 9672 and 9675

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, 9675 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9672 and 9675 is 3.

GCF(9672,9675) = 3

GCF of 9672 and 9675

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

GCF of:
and

Greatest Common Factor of 9672 and 9675

GCF of 9672 and 9675 is 3

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 9675


3 9675
3 3225
5 1075
5 215
43 43
1

Prime factors of 9675 are 3,5,43. Prime factorization of 9675 in exponential form is:

9675 = 32×52×431

∴ So by taking common prime factors GCF of 9672 and 9675 is 3

Greatest Common Factor of 9672 and 9675 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 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675

Greatest Common Factor

We found the factors and prime factorization of 9672 and 9675. The biggest common factor number is the GCF number.
So the greatest common factor 9672 and 9675 is 3.

Also check out the Least Common Multiple of 9672 and 9675

Properties of GCF 9672 and 9675

(i) The GCF of 9672 and 9675 is associative

GCF of 9672 and 9675 = GCF of 9675 and 9672

Related Greatest Common Factor of 9672

Related Greatest Common Factor of 9675

Frequently Asked Questions on GCF of 9672 and 9675

1. What is the GCF of 9672 and 9675?

Answer: GCF of 9672 and 9675 is 3.

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 9675?

Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.

4. How to Find the GCF of 9672 and 9675?

Answer:

Greatest Common Factor of 9672 and 9675 = 3

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 9675

9675 = 3 x 3 x 5 x 5 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9672 and 9675 is 3