Greatest Common Factor of 9522 and 9528

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 9522, 9528 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9522 and 9528 is 6.

GCF(9522,9528) = 6

GCF of 9522 and 9528

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

GCF of:
and

Greatest Common Factor of 9522 and 9528

GCF of 9522 and 9528 is 6

Prime Factorization of 9522


2 9522
3 4761
3 1587
23 529
23 23
1

Prime factors of 9522 are 2,3,23. Prime factorization of 9522 in exponential form is:

9522 = 21×32×232

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

∴ So by taking common prime factors GCF of 9522 and 9528 is 6

Greatest Common Factor of 9522 and 9528 by matching factors method

Factors of 9522

List of positive integer factors of 9522 that divides 9522 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522

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

Greatest Common Factor

We found the factors and prime factorization of 9522 and 9528. The biggest common factor number is the GCF number.
So the greatest common factor 9522 and 9528 is 6.

Also check out the Least Common Multiple of 9522 and 9528

Properties of GCF 9522 and 9528

(i) The GCF of 9522 and 9528 is associative

GCF of 9522 and 9528 = GCF of 9528 and 9522

Related Greatest Common Factor of 9522

Related Greatest Common Factor of 9528

Frequently Asked Questions on GCF of 9522 and 9528

1. What is the GCF of 9522 and 9528?

Answer: GCF of 9522 and 9528 is 6.

2. What are the Factors of 9522?

Answer: Factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522. There are 18 integers that are factors of 9522. The greatest factor of 9522 is 9522.

3. 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.

4. How to Find the GCF of 9522 and 9528?

Answer:

Greatest Common Factor of 9522 and 9528 = 6

Step 1: Find the prime factorization of 9522

9522 = 2 x 3 x 3 x 23 x 23

Step 2: Find the prime factorization of 9528

9528 = 2 x 2 x 2 x 3 x 397

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 9522 and 9528 is 6