Greatest Common Factor of 9531 and 9537

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 9531, 9537 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9531 and 9537 is 3.

GCF(9531,9537) = 3

GCF of 9531 and 9537

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

GCF of:
and

Greatest Common Factor of 9531 and 9537

GCF of 9531 and 9537 is 3

Prime Factorization of 9531


3 9531
3 3177
3 1059
353 353
1

Prime factors of 9531 are 3,353. Prime factorization of 9531 in exponential form is:

9531 = 33×3531

Prime Factorization of 9537


3 9537
11 3179
17 289
17 17
1

Prime factors of 9537 are 3,11,17. Prime factorization of 9537 in exponential form is:

9537 = 31×111×172

∴ So by taking common prime factors GCF of 9531 and 9537 is 3

Greatest Common Factor of 9531 and 9537 by matching factors method

Factors of 9531

List of positive integer factors of 9531 that divides 9531 without a remainder.

1,3,9,27,353,1059,3177,9531

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1,3,11,17,33,51,187,289,561,867,3179,9537

Greatest Common Factor

We found the factors and prime factorization of 9531 and 9537. The biggest common factor number is the GCF number.
So the greatest common factor 9531 and 9537 is 3.

Also check out the Least Common Multiple of 9531 and 9537

Properties of GCF 9531 and 9537

(i) The GCF of 9531 and 9537 is associative

GCF of 9531 and 9537 = GCF of 9537 and 9531

Related Greatest Common Factor of 9531

Related Greatest Common Factor of 9537

Frequently Asked Questions on GCF of 9531 and 9537

1. What is the GCF of 9531 and 9537?

Answer: GCF of 9531 and 9537 is 3.

2. What are the Factors of 9531?

Answer: Factors of 9531 are 1, 3, 9, 27, 353, 1059, 3177, 9531. There are 8 integers that are factors of 9531. The greatest factor of 9531 is 9531.

3. What are the Factors of 9537?

Answer: Factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537. There are 12 integers that are factors of 9537. The greatest factor of 9537 is 9537.

4. How to Find the GCF of 9531 and 9537?

Answer:

Greatest Common Factor of 9531 and 9537 = 3

Step 1: Find the prime factorization of 9531

9531 = 3 x 3 x 3 x 353

Step 2: Find the prime factorization of 9537

9537 = 3 x 11 x 17 x 17

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9531 and 9537 is 3