Greatest Common Factor of 9520 and 9524

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 9520, 9524 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9520 and 9524 is 4.

GCF(9520,9524) = 4

GCF of 9520 and 9524

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

GCF of:
and

Greatest Common Factor of 9520 and 9524

GCF of 9520 and 9524 is 4

Prime Factorization of 9520


2 9520
2 4760
2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 9520 are 2,5,7,17. Prime factorization of 9520 in exponential form is:

9520 = 24×51×71×171

Prime Factorization of 9524


2 9524
2 4762
2381 2381
1

Prime factors of 9524 are 2,2381. Prime factorization of 9524 in exponential form is:

9524 = 22×23811

∴ So by taking common prime factors GCF of 9520 and 9524 is 4

Greatest Common Factor of 9520 and 9524 by matching factors method

Factors of 9520

List of positive integer factors of 9520 that divides 9520 without a remainder.

1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520

Factors of 9524

List of positive integer factors of 9524 that divides 9524 without a remainder.

1,2,4,2381,4762,9524

Greatest Common Factor

We found the factors and prime factorization of 9520 and 9524. The biggest common factor number is the GCF number.
So the greatest common factor 9520 and 9524 is 4.

Also check out the Least Common Multiple of 9520 and 9524

Properties of GCF 9520 and 9524

(i) The GCF of 9520 and 9524 is associative

GCF of 9520 and 9524 = GCF of 9524 and 9520

Related Greatest Common Factor of 9520

Related Greatest Common Factor of 9524

Frequently Asked Questions on GCF of 9520 and 9524

1. What is the GCF of 9520 and 9524?

Answer: GCF of 9520 and 9524 is 4.

2. What are the Factors of 9520?

Answer: Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520. There are 40 integers that are factors of 9520. The greatest factor of 9520 is 9520.

3. What are the Factors of 9524?

Answer: Factors of 9524 are 1, 2, 4, 2381, 4762, 9524. There are 6 integers that are factors of 9524. The greatest factor of 9524 is 9524.

4. How to Find the GCF of 9520 and 9524?

Answer:

Greatest Common Factor of 9520 and 9524 = 4

Step 1: Find the prime factorization of 9520

9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 9524

9524 = 2 x 2 x 2381

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 9520 and 9524 is 4