Greatest Common Factor of 9640 and 9644

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 9640, 9644 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9640 and 9644 is 4.

GCF(9640,9644) = 4

GCF of 9640 and 9644

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

GCF of:
and

Greatest Common Factor of 9640 and 9644

GCF of 9640 and 9644 is 4

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

Prime Factorization of 9644


2 9644
2 4822
2411 2411
1

Prime factors of 9644 are 2,2411. Prime factorization of 9644 in exponential form is:

9644 = 22×24111

∴ So by taking common prime factors GCF of 9640 and 9644 is 4

Greatest Common Factor of 9640 and 9644 by matching factors method

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

Factors of 9644

List of positive integer factors of 9644 that divides 9644 without a remainder.

1,2,4,2411,4822,9644

Greatest Common Factor

We found the factors and prime factorization of 9640 and 9644. The biggest common factor number is the GCF number.
So the greatest common factor 9640 and 9644 is 4.

Also check out the Least Common Multiple of 9640 and 9644

Properties of GCF 9640 and 9644

(i) The GCF of 9640 and 9644 is associative

GCF of 9640 and 9644 = GCF of 9644 and 9640

Related Greatest Common Factor of 9640

Related Greatest Common Factor of 9644

Frequently Asked Questions on GCF of 9640 and 9644

1. What is the GCF of 9640 and 9644?

Answer: GCF of 9640 and 9644 is 4.

2. 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.

3. What are the Factors of 9644?

Answer: Factors of 9644 are 1, 2, 4, 2411, 4822, 9644. There are 6 integers that are factors of 9644. The greatest factor of 9644 is 9644.

4. How to Find the GCF of 9640 and 9644?

Answer:

Greatest Common Factor of 9640 and 9644 = 4

Step 1: Find the prime factorization of 9640

9640 = 2 x 2 x 2 x 5 x 241

Step 2: Find the prime factorization of 9644

9644 = 2 x 2 x 2411

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9640 and 9644 is 4