Greatest Common Factor of 9630 and 9638

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, 9638 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9630 and 9638 is 2.

GCF(9630,9638) = 2

GCF of 9630 and 9638

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

GCF of:
and

Greatest Common Factor of 9630 and 9638

GCF of 9630 and 9638 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 9638


2 9638
61 4819
79 79
1

Prime factors of 9638 are 2,61,79. Prime factorization of 9638 in exponential form is:

9638 = 21×611×791

∴ So by taking common prime factors GCF of 9630 and 9638 is 2

Greatest Common Factor of 9630 and 9638 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 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1,2,61,79,122,158,4819,9638

Greatest Common Factor

We found the factors and prime factorization of 9630 and 9638. The biggest common factor number is the GCF number.
So the greatest common factor 9630 and 9638 is 2.

Also check out the Least Common Multiple of 9630 and 9638

Properties of GCF 9630 and 9638

(i) The GCF of 9630 and 9638 is associative

GCF of 9630 and 9638 = GCF of 9638 and 9630

Related Greatest Common Factor of 9630

Related Greatest Common Factor of 9638

Frequently Asked Questions on GCF of 9630 and 9638

1. What is the GCF of 9630 and 9638?

Answer: GCF of 9630 and 9638 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 9638?

Answer: Factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638. There are 8 integers that are factors of 9638. The greatest factor of 9638 is 9638.

4. How to Find the GCF of 9630 and 9638?

Answer:

Greatest Common Factor of 9630 and 9638 = 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 9638

9638 = 2 x 61 x 79

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 9638 is 2