Greatest Common Factor of 9556 and 9564

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 9556, 9564 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9556 and 9564 is 4.

GCF(9556,9564) = 4

GCF of 9556 and 9564

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

GCF of:
and

Greatest Common Factor of 9556 and 9564

GCF of 9556 and 9564 is 4

Prime Factorization of 9556


2 9556
2 4778
2389 2389
1

Prime factors of 9556 are 2,2389. Prime factorization of 9556 in exponential form is:

9556 = 22×23891

Prime Factorization of 9564


2 9564
2 4782
3 2391
797 797
1

Prime factors of 9564 are 2,3,797. Prime factorization of 9564 in exponential form is:

9564 = 22×31×7971

∴ So by taking common prime factors GCF of 9556 and 9564 is 4

Greatest Common Factor of 9556 and 9564 by matching factors method

Factors of 9556

List of positive integer factors of 9556 that divides 9556 without a remainder.

1,2,4,2389,4778,9556

Factors of 9564

List of positive integer factors of 9564 that divides 9564 without a remainder.

1,2,3,4,6,12,797,1594,2391,3188,4782,9564

Greatest Common Factor

We found the factors and prime factorization of 9556 and 9564. The biggest common factor number is the GCF number.
So the greatest common factor 9556 and 9564 is 4.

Also check out the Least Common Multiple of 9556 and 9564

Properties of GCF 9556 and 9564

(i) The GCF of 9556 and 9564 is associative

GCF of 9556 and 9564 = GCF of 9564 and 9556

Related Greatest Common Factor of 9556

Related Greatest Common Factor of 9564

Frequently Asked Questions on GCF of 9556 and 9564

1. What is the GCF of 9556 and 9564?

Answer: GCF of 9556 and 9564 is 4.

2. What are the Factors of 9556?

Answer: Factors of 9556 are 1, 2, 4, 2389, 4778, 9556. There are 6 integers that are factors of 9556. The greatest factor of 9556 is 9556.

3. What are the Factors of 9564?

Answer: Factors of 9564 are 1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564. There are 12 integers that are factors of 9564. The greatest factor of 9564 is 9564.

4. How to Find the GCF of 9556 and 9564?

Answer:

Greatest Common Factor of 9556 and 9564 = 4

Step 1: Find the prime factorization of 9556

9556 = 2 x 2 x 2389

Step 2: Find the prime factorization of 9564

9564 = 2 x 2 x 3 x 797

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 9556 and 9564 is 4