Greatest Common Factor of 525 and 530

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, 530 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 525 and 530 is 5.

GCF(525,530) = 5

GCF of 525 and 530

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

GCF of:
and

Greatest Common Factor of 525 and 530

GCF of 525 and 530 is 5

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 530


2 530
5 265
53 53
1

Prime factors of 530 are 2,5,53. Prime factorization of 530 in exponential form is:

530 = 21×51×531

∴ So by taking common prime factors GCF of 525 and 530 is 5

Greatest Common Factor of 525 and 530 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 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors and prime factorization of 525 and 530. The biggest common factor number is the GCF number.
So the greatest common factor 525 and 530 is 5.

Also check out the Least Common Multiple of 525 and 530

Properties of GCF 525 and 530

(i) The GCF of 525 and 530 is associative

GCF of 525 and 530 = GCF of 530 and 525

Related Greatest Common Factor of 525

Related Greatest Common Factor of 530

Frequently Asked Questions on GCF of 525 and 530

1. What is the GCF of 525 and 530?

Answer: GCF of 525 and 530 is 5.

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 530?

Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.

4. How to Find the GCF of 525 and 530?

Answer:

Greatest Common Factor of 525 and 530 = 5

Step 1: Find the prime factorization of 525

525 = 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 530

530 = 2 x 5 x 53

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

GCF = 5

Step 4: Therefore, the greatest common factor of 525 and 530 is 5