Greatest Common Factor of 9670 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 9670, 9675 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9670 and 9675 is 5.

GCF(9670,9675) = 5

GCF of 9670 and 9675

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

GCF of:
and

Greatest Common Factor of 9670 and 9675

GCF of 9670 and 9675 is 5

Prime Factorization of 9670


2 9670
5 4835
967 967
1

Prime factors of 9670 are 2,5,967. Prime factorization of 9670 in exponential form is:

9670 = 21×51×9671

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 9670 and 9675 is 5

Greatest Common Factor of 9670 and 9675 by matching factors method

Factors of 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1,2,5,10,967,1934,4835,9670

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 9670 and 9675. The biggest common factor number is the GCF number.
So the greatest common factor 9670 and 9675 is 5.

Also check out the Least Common Multiple of 9670 and 9675

Properties of GCF 9670 and 9675

(i) The GCF of 9670 and 9675 is associative

GCF of 9670 and 9675 = GCF of 9675 and 9670

Related Greatest Common Factor of 9670

Related Greatest Common Factor of 9675

Frequently Asked Questions on GCF of 9670 and 9675

1. What is the GCF of 9670 and 9675?

Answer: GCF of 9670 and 9675 is 5.

2. What are the Factors of 9670?

Answer: Factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670. There are 8 integers that are factors of 9670. The greatest factor of 9670 is 9670.

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 9670 and 9675?

Answer:

Greatest Common Factor of 9670 and 9675 = 5

Step 1: Find the prime factorization of 9670

9670 = 2 x 5 x 967

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 = 5

Step 4: Therefore, the greatest common factor of 9670 and 9675 is 5