Greatest Common Factor of 504 and 507

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 504, 507 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 504 and 507 is 3.

GCF(504,507) = 3

GCF of 504 and 507

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

GCF of:
and

Greatest Common Factor of 504 and 507

GCF of 504 and 507 is 3

Prime Factorization of 504


2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 504 are 2,3,7. Prime factorization of 504 in exponential form is:

504 = 23×32×71

Prime Factorization of 507


3 507
13 169
13 13
1

Prime factors of 507 are 3,13. Prime factorization of 507 in exponential form is:

507 = 31×132

∴ So by taking common prime factors GCF of 504 and 507 is 3

Greatest Common Factor of 504 and 507 by matching factors method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors and prime factorization of 504 and 507. The biggest common factor number is the GCF number.
So the greatest common factor 504 and 507 is 3.

Also check out the Least Common Multiple of 504 and 507

Properties of GCF 504 and 507

(i) The GCF of 504 and 507 is associative

GCF of 504 and 507 = GCF of 507 and 504

Related Greatest Common Factor of 504

Related Greatest Common Factor of 507

Frequently Asked Questions on GCF of 504 and 507

1. What is the GCF of 504 and 507?

Answer: GCF of 504 and 507 is 3.

2. What are the Factors of 504?

Answer: Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504. There are 24 integers that are factors of 504. The greatest factor of 504 is 504.

3. What are the Factors of 507?

Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.

4. How to Find the GCF of 504 and 507?

Answer:

Greatest Common Factor of 504 and 507 = 3

Step 1: Find the prime factorization of 504

504 = 2 x 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 507

507 = 3 x 13 x 13

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 504 and 507 is 3