Greatest Common Factor of 507 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 507, 508 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 507 and 508 is 1.

GCF(507,508) = 1

GCF of 507 and 508

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

GCF of:
and

Greatest Common Factor of 507 and 508

GCF of 507 and 508 is 1

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

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 507 and 508 is 1

Greatest Common Factor of 507 and 508 by matching factors method

Factors of 507

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

1,3,13,39,169,507

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 507 and 508. The biggest common factor number is the GCF number.
So the greatest common factor 507 and 508 is 1.

Also check out the Least Common Multiple of 507 and 508

Properties of GCF 507 and 508

(i) The GCF of 507 and 508 is associative

GCF of 507 and 508 = GCF of 508 and 507

Related Greatest Common Factor of 507

Related Greatest Common Factor of 508

Frequently Asked Questions on GCF of 507 and 508

1. What is the GCF of 507 and 508?

Answer: GCF of 507 and 508 is 1.

2. 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.

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 507 and 508?

Answer:

Greatest Common Factor of 507 and 508 = 1

Step 1: Find the prime factorization of 507

507 = 3 x 13 x 13

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 = = 1

Step 4: Therefore, the greatest common factor of 507 and 508 is 1