Greatest Common Factor of 504 and 508

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, 508 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 504 and 508 is 4.

GCF(504,508) = 4

GCF of 504 and 508

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

GCF of:
and

Greatest Common Factor of 504 and 508

GCF of 504 and 508 is 4

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 508


2 508
2 254
127 127
1

Prime factors of 508 are 2,127. Prime factorization of 508 in exponential form is:

508 = 22×1271

∴ So by taking common prime factors GCF of 504 and 508 is 4

Greatest Common Factor of 504 and 508 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 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors and prime factorization of 504 and 508. The biggest common factor number is the GCF number.
So the greatest common factor 504 and 508 is 4.

Also check out the Least Common Multiple of 504 and 508

Properties of GCF 504 and 508

(i) The GCF of 504 and 508 is associative

GCF of 504 and 508 = GCF of 508 and 504

Related Greatest Common Factor of 504

Related Greatest Common Factor of 508

Frequently Asked Questions on GCF of 504 and 508

1. What is the GCF of 504 and 508?

Answer: GCF of 504 and 508 is 4.

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 508?

Answer: Factors of 508 are 1, 2, 4, 127, 254, 508. There are 6 integers that are factors of 508. The greatest factor of 508 is 508.

4. How to Find the GCF of 504 and 508?

Answer:

Greatest Common Factor of 504 and 508 = 4

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 508

508 = 2 x 2 x 127

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 504 and 508 is 4