Greatest Common Factor of 522 and 525

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 522, 525 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 522 and 525 is 3.

GCF(522,525) = 3

GCF of 522 and 525

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

GCF of:
and

Greatest Common Factor of 522 and 525

GCF of 522 and 525 is 3

Prime Factorization of 522


2 522
3 261
3 87
29 29
1

Prime factors of 522 are 2,3,29. Prime factorization of 522 in exponential form is:

522 = 21×32×291

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

∴ So by taking common prime factors GCF of 522 and 525 is 3

Greatest Common Factor of 522 and 525 by matching factors method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

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

Greatest Common Factor

We found the factors and prime factorization of 522 and 525. The biggest common factor number is the GCF number.
So the greatest common factor 522 and 525 is 3.

Also check out the Least Common Multiple of 522 and 525

Properties of GCF 522 and 525

(i) The GCF of 522 and 525 is associative

GCF of 522 and 525 = GCF of 525 and 522

Related Greatest Common Factor of 522

Related Greatest Common Factor of 525

Frequently Asked Questions on GCF of 522 and 525

1. What is the GCF of 522 and 525?

Answer: GCF of 522 and 525 is 3.

2. What are the Factors of 522?

Answer: Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. There are 12 integers that are factors of 522. The greatest factor of 522 is 522.

3. 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.

4. How to Find the GCF of 522 and 525?

Answer:

Greatest Common Factor of 522 and 525 = 3

Step 1: Find the prime factorization of 522

522 = 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 525

525 = 3 x 5 x 5 x 7

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 522 and 525 is 3