Greatest Common Factor of 9564 and 9568

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 9564, 9568 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9564 and 9568 is 4.

GCF(9564,9568) = 4

GCF of 9564 and 9568

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

GCF of:
and

Greatest Common Factor of 9564 and 9568

GCF of 9564 and 9568 is 4

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

Prime Factorization of 9568


2 9568
2 4784
2 2392
2 1196
2 598
13 299
23 23
1

Prime factors of 9568 are 2,13,23. Prime factorization of 9568 in exponential form is:

9568 = 25×131×231

∴ So by taking common prime factors GCF of 9564 and 9568 is 4

Greatest Common Factor of 9564 and 9568 by matching factors method

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

Factors of 9568

List of positive integer factors of 9568 that divides 9568 without a remainder.

1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568

Greatest Common Factor

We found the factors and prime factorization of 9564 and 9568. The biggest common factor number is the GCF number.
So the greatest common factor 9564 and 9568 is 4.

Also check out the Least Common Multiple of 9564 and 9568

Properties of GCF 9564 and 9568

(i) The GCF of 9564 and 9568 is associative

GCF of 9564 and 9568 = GCF of 9568 and 9564

Related Greatest Common Factor of 9564

Related Greatest Common Factor of 9568

Frequently Asked Questions on GCF of 9564 and 9568

1. What is the GCF of 9564 and 9568?

Answer: GCF of 9564 and 9568 is 4.

2. 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.

3. What are the Factors of 9568?

Answer: Factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568. There are 24 integers that are factors of 9568. The greatest factor of 9568 is 9568.

4. How to Find the GCF of 9564 and 9568?

Answer:

Greatest Common Factor of 9564 and 9568 = 4

Step 1: Find the prime factorization of 9564

9564 = 2 x 2 x 3 x 797

Step 2: Find the prime factorization of 9568

9568 = 2 x 2 x 2 x 2 x 2 x 13 x 23

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 9564 and 9568 is 4