Greatest Common Factor of 9630 and 9634

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 9630, 9634 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9630 and 9634 is 2.

GCF(9630,9634) = 2

GCF of 9630 and 9634

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

GCF of:
and

Greatest Common Factor of 9630 and 9634

GCF of 9630 and 9634 is 2

Prime Factorization of 9630


2 9630
3 4815
3 1605
5 535
107 107
1

Prime factors of 9630 are 2,3,5,107. Prime factorization of 9630 in exponential form is:

9630 = 21×32×51×1071

Prime Factorization of 9634


2 9634
4817 4817
1

Prime factors of 9634 are 2,4817. Prime factorization of 9634 in exponential form is:

9634 = 21×48171

∴ So by taking common prime factors GCF of 9630 and 9634 is 2

Greatest Common Factor of 9630 and 9634 by matching factors method

Factors of 9630

List of positive integer factors of 9630 that divides 9630 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,107,214,321,535,642,963,1070,1605,1926,3210,4815,9630

Factors of 9634

List of positive integer factors of 9634 that divides 9634 without a remainder.

1,2,4817,9634

Greatest Common Factor

We found the factors and prime factorization of 9630 and 9634. The biggest common factor number is the GCF number.
So the greatest common factor 9630 and 9634 is 2.

Also check out the Least Common Multiple of 9630 and 9634

Properties of GCF 9630 and 9634

(i) The GCF of 9630 and 9634 is associative

GCF of 9630 and 9634 = GCF of 9634 and 9630

Related Greatest Common Factor of 9630

Related Greatest Common Factor of 9634

Frequently Asked Questions on GCF of 9630 and 9634

1. What is the GCF of 9630 and 9634?

Answer: GCF of 9630 and 9634 is 2.

2. What are the Factors of 9630?

Answer: Factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630. There are 24 integers that are factors of 9630. The greatest factor of 9630 is 9630.

3. What are the Factors of 9634?

Answer: Factors of 9634 are 1, 2, 4817, 9634. There are 4 integers that are factors of 9634. The greatest factor of 9634 is 9634.

4. How to Find the GCF of 9630 and 9634?

Answer:

Greatest Common Factor of 9630 and 9634 = 2

Step 1: Find the prime factorization of 9630

9630 = 2 x 3 x 3 x 5 x 107

Step 2: Find the prime factorization of 9634

9634 = 2 x 4817

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 9630 and 9634 is 2