Greatest Common Factor of 9528 and 9532

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, 9532 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9528 and 9532 is 4.

GCF(9528,9532) = 4

GCF of 9528 and 9532

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

GCF of:
and

Greatest Common Factor of 9528 and 9532

GCF of 9528 and 9532 is 4

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 9532


2 9532
2 4766
2383 2383
1

Prime factors of 9532 are 2,2383. Prime factorization of 9532 in exponential form is:

9532 = 22×23831

∴ So by taking common prime factors GCF of 9528 and 9532 is 4

Greatest Common Factor of 9528 and 9532 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 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1,2,4,2383,4766,9532

Greatest Common Factor

We found the factors and prime factorization of 9528 and 9532. The biggest common factor number is the GCF number.
So the greatest common factor 9528 and 9532 is 4.

Also check out the Least Common Multiple of 9528 and 9532

Properties of GCF 9528 and 9532

(i) The GCF of 9528 and 9532 is associative

GCF of 9528 and 9532 = GCF of 9532 and 9528

Related Greatest Common Factor of 9528

Related Greatest Common Factor of 9532

Frequently Asked Questions on GCF of 9528 and 9532

1. What is the GCF of 9528 and 9532?

Answer: GCF of 9528 and 9532 is 4.

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 9532?

Answer: Factors of 9532 are 1, 2, 4, 2383, 4766, 9532. There are 6 integers that are factors of 9532. The greatest factor of 9532 is 9532.

4. How to Find the GCF of 9528 and 9532?

Answer:

Greatest Common Factor of 9528 and 9532 = 4

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 9532

9532 = 2 x 2 x 2383

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9528 and 9532 is 4