Greatest Common Factor of 9675 and 9679

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 9675, 9679 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9675 and 9679 is 1.

GCF(9675,9679) = 1

GCF of 9675 and 9679

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

GCF of:
and

Greatest Common Factor of 9675 and 9679

GCF of 9675 and 9679 is 1

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

Prime Factorization of 9679


9679 9679
1

Prime factors of 9679 are 9679. Prime factorization of 9679 in exponential form is:

9679 = 96791

∴ So by taking common prime factors GCF of 9675 and 9679 is 1

Greatest Common Factor of 9675 and 9679 by matching factors method

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

Factors of 9679

List of positive integer factors of 9679 that divides 9679 without a remainder.

1,9679

Greatest Common Factor

We found the factors and prime factorization of 9675 and 9679. The biggest common factor number is the GCF number.
So the greatest common factor 9675 and 9679 is 1.

Also check out the Least Common Multiple of 9675 and 9679

Properties of GCF 9675 and 9679

(i) The GCF of 9675 and 9679 is associative

GCF of 9675 and 9679 = GCF of 9679 and 9675

Frequently Asked Questions on GCF of 9675 and 9679

1. What is the GCF of 9675 and 9679?

Answer: GCF of 9675 and 9679 is 1.

2. 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.

3. What are the Factors of 9679?

Answer: Factors of 9679 are 1, 9679. There are 2 integers that are factors of 9679. The greatest factor of 9679 is 9679.

4. How to Find the GCF of 9675 and 9679?

Answer:

Greatest Common Factor of 9675 and 9679 = 1

Step 1: Find the prime factorization of 9675

9675 = 3 x 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 9679

9679 = 9679

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9675 and 9679 is 1