Greatest Common Factor of 9512 and 9520

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 9512, 9520 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9512 and 9520 is 8.

GCF(9512,9520) = 8

GCF of 9512 and 9520

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

GCF of:
and

Greatest Common Factor of 9512 and 9520

GCF of 9512 and 9520 is 8

Prime Factorization of 9512


2 9512
2 4756
2 2378
29 1189
41 41
1

Prime factors of 9512 are 2,29,41. Prime factorization of 9512 in exponential form is:

9512 = 23×291×411

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

∴ So by taking common prime factors GCF of 9512 and 9520 is 8

Greatest Common Factor of 9512 and 9520 by matching factors method

Factors of 9512

List of positive integer factors of 9512 that divides 9512 without a remainder.

1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512

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

Greatest Common Factor

We found the factors and prime factorization of 9512 and 9520. The biggest common factor number is the GCF number.
So the greatest common factor 9512 and 9520 is 8.

Also check out the Least Common Multiple of 9512 and 9520

Properties of GCF 9512 and 9520

(i) The GCF of 9512 and 9520 is associative

GCF of 9512 and 9520 = GCF of 9520 and 9512

Related Greatest Common Factor of 9512

Related Greatest Common Factor of 9520

Frequently Asked Questions on GCF of 9512 and 9520

1. What is the GCF of 9512 and 9520?

Answer: GCF of 9512 and 9520 is 8.

2. What are the Factors of 9512?

Answer: Factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512. There are 16 integers that are factors of 9512. The greatest factor of 9512 is 9512.

3. 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.

4. How to Find the GCF of 9512 and 9520?

Answer:

Greatest Common Factor of 9512 and 9520 = 8

Step 1: Find the prime factorization of 9512

9512 = 2 x 2 x 2 x 29 x 41

Step 2: Find the prime factorization of 9520

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9512 and 9520 is 8