Greatest Common Factor of 9506 and 9512

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 9506, 9512 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9506 and 9512 is 2.

GCF(9506,9512) = 2

GCF of 9506 and 9512

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

GCF of:
and

Greatest Common Factor of 9506 and 9512

GCF of 9506 and 9512 is 2

Prime Factorization of 9506


2 9506
7 4753
7 679
97 97
1

Prime factors of 9506 are 2,7,97. Prime factorization of 9506 in exponential form is:

9506 = 21×72×971

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

∴ So by taking common prime factors GCF of 9506 and 9512 is 2

Greatest Common Factor of 9506 and 9512 by matching factors method

Factors of 9506

List of positive integer factors of 9506 that divides 9506 without a remainder.

1,2,7,14,49,97,98,194,679,1358,4753,9506

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

Greatest Common Factor

We found the factors and prime factorization of 9506 and 9512. The biggest common factor number is the GCF number.
So the greatest common factor 9506 and 9512 is 2.

Also check out the Least Common Multiple of 9506 and 9512

Properties of GCF 9506 and 9512

(i) The GCF of 9506 and 9512 is associative

GCF of 9506 and 9512 = GCF of 9512 and 9506

Related Greatest Common Factor of 9506

Related Greatest Common Factor of 9512

Frequently Asked Questions on GCF of 9506 and 9512

1. What is the GCF of 9506 and 9512?

Answer: GCF of 9506 and 9512 is 2.

2. What are the Factors of 9506?

Answer: Factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506. There are 12 integers that are factors of 9506. The greatest factor of 9506 is 9506.

3. 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.

4. How to Find the GCF of 9506 and 9512?

Answer:

Greatest Common Factor of 9506 and 9512 = 2

Step 1: Find the prime factorization of 9506

9506 = 2 x 7 x 7 x 97

Step 2: Find the prime factorization of 9512

9512 = 2 x 2 x 2 x 29 x 41

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 9506 and 9512 is 2