Greatest Common Factor of 9568 and 9574

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 9568, 9574 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9568 and 9574 is 2.

GCF(9568,9574) = 2

GCF of 9568 and 9574

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

GCF of:
and

Greatest Common Factor of 9568 and 9574

GCF of 9568 and 9574 is 2

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

Prime Factorization of 9574


2 9574
4787 4787
1

Prime factors of 9574 are 2,4787. Prime factorization of 9574 in exponential form is:

9574 = 21×47871

∴ So by taking common prime factors GCF of 9568 and 9574 is 2

Greatest Common Factor of 9568 and 9574 by matching factors method

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

Factors of 9574

List of positive integer factors of 9574 that divides 9574 without a remainder.

1,2,4787,9574

Greatest Common Factor

We found the factors and prime factorization of 9568 and 9574. The biggest common factor number is the GCF number.
So the greatest common factor 9568 and 9574 is 2.

Also check out the Least Common Multiple of 9568 and 9574

Properties of GCF 9568 and 9574

(i) The GCF of 9568 and 9574 is associative

GCF of 9568 and 9574 = GCF of 9574 and 9568

Related Greatest Common Factor of 9568

Related Greatest Common Factor of 9574

Frequently Asked Questions on GCF of 9568 and 9574

1. What is the GCF of 9568 and 9574?

Answer: GCF of 9568 and 9574 is 2.

2. 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.

3. What are the Factors of 9574?

Answer: Factors of 9574 are 1, 2, 4787, 9574. There are 4 integers that are factors of 9574. The greatest factor of 9574 is 9574.

4. How to Find the GCF of 9568 and 9574?

Answer:

Greatest Common Factor of 9568 and 9574 = 2

Step 1: Find the prime factorization of 9568

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

Step 2: Find the prime factorization of 9574

9574 = 2 x 4787

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 9568 and 9574 is 2