Greatest Common Factor of 525 and 528

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 525, 528 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 525 and 528 is 3.

GCF(525,528) = 3

GCF of 525 and 528

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

GCF of:
and

Greatest Common Factor of 525 and 528

GCF of 525 and 528 is 3

Prime Factorization of 525


3 525
5 175
5 35
7 7
1

Prime factors of 525 are 3,5,7. Prime factorization of 525 in exponential form is:

525 = 31×52×71

Prime Factorization of 528


2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 528 are 2,3,11. Prime factorization of 528 in exponential form is:

528 = 24×31×111

∴ So by taking common prime factors GCF of 525 and 528 is 3

Greatest Common Factor of 525 and 528 by matching factors method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors and prime factorization of 525 and 528. The biggest common factor number is the GCF number.
So the greatest common factor 525 and 528 is 3.

Also check out the Least Common Multiple of 525 and 528

Properties of GCF 525 and 528

(i) The GCF of 525 and 528 is associative

GCF of 525 and 528 = GCF of 528 and 525

Related Greatest Common Factor of 525

Related Greatest Common Factor of 528

Frequently Asked Questions on GCF of 525 and 528

1. What is the GCF of 525 and 528?

Answer: GCF of 525 and 528 is 3.

2. What are the Factors of 525?

Answer: Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. There are 12 integers that are factors of 525. The greatest factor of 525 is 525.

3. What are the Factors of 528?

Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.

4. How to Find the GCF of 525 and 528?

Answer:

Greatest Common Factor of 525 and 528 = 3

Step 1: Find the prime factorization of 525

525 = 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 528

528 = 2 x 2 x 2 x 2 x 3 x 11

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 525 and 528 is 3