Greatest Common Factor of 9635 and 9640

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 9635, 9640 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9635 and 9640 is 5.

GCF(9635,9640) = 5

GCF of 9635 and 9640

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

GCF of:
and

Greatest Common Factor of 9635 and 9640

GCF of 9635 and 9640 is 5

Prime Factorization of 9635


5 9635
41 1927
47 47
1

Prime factors of 9635 are 5,41,47. Prime factorization of 9635 in exponential form is:

9635 = 51×411×471

Prime Factorization of 9640


2 9640
2 4820
2 2410
5 1205
241 241
1

Prime factors of 9640 are 2,5,241. Prime factorization of 9640 in exponential form is:

9640 = 23×51×2411

∴ So by taking common prime factors GCF of 9635 and 9640 is 5

Greatest Common Factor of 9635 and 9640 by matching factors method

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1,5,41,47,205,235,1927,9635

Factors of 9640

List of positive integer factors of 9640 that divides 9640 without a remainder.

1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640

Greatest Common Factor

We found the factors and prime factorization of 9635 and 9640. The biggest common factor number is the GCF number.
So the greatest common factor 9635 and 9640 is 5.

Also check out the Least Common Multiple of 9635 and 9640

Properties of GCF 9635 and 9640

(i) The GCF of 9635 and 9640 is associative

GCF of 9635 and 9640 = GCF of 9640 and 9635

Related Greatest Common Factor of 9635

Related Greatest Common Factor of 9640

Frequently Asked Questions on GCF of 9635 and 9640

1. What is the GCF of 9635 and 9640?

Answer: GCF of 9635 and 9640 is 5.

2. What are the Factors of 9635?

Answer: Factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635. There are 8 integers that are factors of 9635. The greatest factor of 9635 is 9635.

3. What are the Factors of 9640?

Answer: Factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640. There are 16 integers that are factors of 9640. The greatest factor of 9640 is 9640.

4. How to Find the GCF of 9635 and 9640?

Answer:

Greatest Common Factor of 9635 and 9640 = 5

Step 1: Find the prime factorization of 9635

9635 = 5 x 41 x 47

Step 2: Find the prime factorization of 9640

9640 = 2 x 2 x 2 x 5 x 241

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 9635 and 9640 is 5