Greatest Common Factor of 9528 and 9531

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 9528, 9531 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9528 and 9531 is 3.

GCF(9528,9531) = 3

GCF of 9528 and 9531

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

GCF of:
and

Greatest Common Factor of 9528 and 9531

GCF of 9528 and 9531 is 3

Prime Factorization of 9528


2 9528
2 4764
2 2382
3 1191
397 397
1

Prime factors of 9528 are 2,3,397. Prime factorization of 9528 in exponential form is:

9528 = 23×31×3971

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

∴ So by taking common prime factors GCF of 9528 and 9531 is 3

Greatest Common Factor of 9528 and 9531 by matching factors method

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528

Factors of 9531

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

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

Greatest Common Factor

We found the factors and prime factorization of 9528 and 9531. The biggest common factor number is the GCF number.
So the greatest common factor 9528 and 9531 is 3.

Also check out the Least Common Multiple of 9528 and 9531

Properties of GCF 9528 and 9531

(i) The GCF of 9528 and 9531 is associative

GCF of 9528 and 9531 = GCF of 9531 and 9528

Related Greatest Common Factor of 9528

Related Greatest Common Factor of 9531

Frequently Asked Questions on GCF of 9528 and 9531

1. What is the GCF of 9528 and 9531?

Answer: GCF of 9528 and 9531 is 3.

2. What are the Factors of 9528?

Answer: Factors of 9528 are 1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528. There are 16 integers that are factors of 9528. The greatest factor of 9528 is 9528.

3. 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.

4. How to Find the GCF of 9528 and 9531?

Answer:

Greatest Common Factor of 9528 and 9531 = 3

Step 1: Find the prime factorization of 9528

9528 = 2 x 2 x 2 x 3 x 397

Step 2: Find the prime factorization of 9531

9531 = 3 x 3 x 3 x 353

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 9528 and 9531 is 3