Greatest Common Factor of 9528 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 9528, 9534 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9528 and 9534 is 6.

GCF(9528,9534) = 6

GCF of 9528 and 9534

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

GCF of:
and

Greatest Common Factor of 9528 and 9534

GCF of 9528 and 9534 is 6

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 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 9528 and 9534 is 6

Greatest Common Factor of 9528 and 9534 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 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 9528 and 9534. The biggest common factor number is the GCF number.
So the greatest common factor 9528 and 9534 is 6.

Also check out the Least Common Multiple of 9528 and 9534

Properties of GCF 9528 and 9534

(i) The GCF of 9528 and 9534 is associative

GCF of 9528 and 9534 = GCF of 9534 and 9528

Related Greatest Common Factor of 9528

Related Greatest Common Factor of 9534

Frequently Asked Questions on GCF of 9528 and 9534

1. What is the GCF of 9528 and 9534?

Answer: GCF of 9528 and 9534 is 6.

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 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 9528 and 9534?

Answer:

Greatest Common Factor of 9528 and 9534 = 6

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 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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9528 and 9534 is 6