Greatest Common Factor of 518 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 518, 525 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 518 and 525 is 7.

GCF(518,525) = 7

GCF of 518 and 525

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

GCF of:
and

Greatest Common Factor of 518 and 525

GCF of 518 and 525 is 7

Prime Factorization of 518


2 518
7 259
37 37
1

Prime factors of 518 are 2,7,37. Prime factorization of 518 in exponential form is:

518 = 21×71×371

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 518 and 525 is 7

Greatest Common Factor of 518 and 525 by matching factors method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

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 518 and 525. The biggest common factor number is the GCF number.
So the greatest common factor 518 and 525 is 7.

Also check out the Least Common Multiple of 518 and 525

Properties of GCF 518 and 525

(i) The GCF of 518 and 525 is associative

GCF of 518 and 525 = GCF of 525 and 518

Related Greatest Common Factor of 518

Related Greatest Common Factor of 525

Frequently Asked Questions on GCF of 518 and 525

1. What is the GCF of 518 and 525?

Answer: GCF of 518 and 525 is 7.

2. What are the Factors of 518?

Answer: Factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518. There are 8 integers that are factors of 518. The greatest factor of 518 is 518.

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 518 and 525?

Answer:

Greatest Common Factor of 518 and 525 = 7

Step 1: Find the prime factorization of 518

518 = 2 x 7 x 37

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 = 7

Step 4: Therefore, the greatest common factor of 518 and 525 is 7