Greatest Common Factor of 9531 and 9534

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, 9534 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9531 and 9534 is 3.

GCF(9531,9534) = 3

GCF of 9531 and 9534

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

GCF of:
and

Greatest Common Factor of 9531 and 9534

GCF of 9531 and 9534 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 9534


2 9534
3 4767
7 1589
227 227
1

Prime factors of 9534 are 2,3,7,227. Prime factorization of 9534 in exponential form is:

9534 = 21×31×71×2271

∴ So by taking common prime factors GCF of 9531 and 9534 is 3

Greatest Common Factor of 9531 and 9534 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 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534

Greatest Common Factor

We found the factors and prime factorization of 9531 and 9534. The biggest common factor number is the GCF number.
So the greatest common factor 9531 and 9534 is 3.

Also check out the Least Common Multiple of 9531 and 9534

Properties of GCF 9531 and 9534

(i) The GCF of 9531 and 9534 is associative

GCF of 9531 and 9534 = GCF of 9534 and 9531

Related Greatest Common Factor of 9531

Related Greatest Common Factor of 9534

Frequently Asked Questions on GCF of 9531 and 9534

1. What is the GCF of 9531 and 9534?

Answer: GCF of 9531 and 9534 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 9534?

Answer: Factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534. There are 16 integers that are factors of 9534. The greatest factor of 9534 is 9534.

4. How to Find the GCF of 9531 and 9534?

Answer:

Greatest Common Factor of 9531 and 9534 = 3

Step 1: Find the prime factorization of 9531

9531 = 3 x 3 x 3 x 353

Step 2: Find the prime factorization of 9534

9534 = 2 x 3 x 7 x 227

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 9534 is 3