Greatest Common Factor of 9572 and 9576

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 9572, 9576 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9572 and 9576 is 4.

GCF(9572,9576) = 4

GCF of 9572 and 9576

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

GCF of:
and

Greatest Common Factor of 9572 and 9576

GCF of 9572 and 9576 is 4

Prime Factorization of 9572


2 9572
2 4786
2393 2393
1

Prime factors of 9572 are 2,2393. Prime factorization of 9572 in exponential form is:

9572 = 22×23931

Prime Factorization of 9576


2 9576
2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 9576 are 2,3,7,19. Prime factorization of 9576 in exponential form is:

9576 = 23×32×71×191

∴ So by taking common prime factors GCF of 9572 and 9576 is 4

Greatest Common Factor of 9572 and 9576 by matching factors method

Factors of 9572

List of positive integer factors of 9572 that divides 9572 without a remainder.

1,2,4,2393,4786,9572

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576

Greatest Common Factor

We found the factors and prime factorization of 9572 and 9576. The biggest common factor number is the GCF number.
So the greatest common factor 9572 and 9576 is 4.

Also check out the Least Common Multiple of 9572 and 9576

Properties of GCF 9572 and 9576

(i) The GCF of 9572 and 9576 is associative

GCF of 9572 and 9576 = GCF of 9576 and 9572

Related Greatest Common Factor of 9572

Related Greatest Common Factor of 9576

Frequently Asked Questions on GCF of 9572 and 9576

1. What is the GCF of 9572 and 9576?

Answer: GCF of 9572 and 9576 is 4.

2. What are the Factors of 9572?

Answer: Factors of 9572 are 1, 2, 4, 2393, 4786, 9572. There are 6 integers that are factors of 9572. The greatest factor of 9572 is 9572.

3. What are the Factors of 9576?

Answer: Factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576. There are 48 integers that are factors of 9576. The greatest factor of 9576 is 9576.

4. How to Find the GCF of 9572 and 9576?

Answer:

Greatest Common Factor of 9572 and 9576 = 4

Step 1: Find the prime factorization of 9572

9572 = 2 x 2 x 2393

Step 2: Find the prime factorization of 9576

9576 = 2 x 2 x 2 x 3 x 3 x 7 x 19

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 9572 and 9576 is 4