Greatest Common Factor of 507 and 510

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

Greatest common factor (GCF) of 507 and 510 is 3.

GCF(507,510) = 3

GCF of 507 and 510

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

GCF of:
and

Greatest Common Factor of 507 and 510

GCF of 507 and 510 is 3

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 510


2 510
3 255
5 85
17 17
1

Prime factors of 510 are 2,3,5,17. Prime factorization of 510 in exponential form is:

510 = 21×31×51×171

∴ So by taking common prime factors GCF of 507 and 510 is 3

Greatest Common Factor of 507 and 510 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 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors and prime factorization of 507 and 510. The biggest common factor number is the GCF number.
So the greatest common factor 507 and 510 is 3.

Also check out the Least Common Multiple of 507 and 510

Properties of GCF 507 and 510

(i) The GCF of 507 and 510 is associative

GCF of 507 and 510 = GCF of 510 and 507

Related Greatest Common Factor of 507

Related Greatest Common Factor of 510

Frequently Asked Questions on GCF of 507 and 510

1. What is the GCF of 507 and 510?

Answer: GCF of 507 and 510 is 3.

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 510?

Answer: Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. There are 16 integers that are factors of 510. The greatest factor of 510 is 510.

4. How to Find the GCF of 507 and 510?

Answer:

Greatest Common Factor of 507 and 510 = 3

Step 1: Find the prime factorization of 507

507 = 3 x 13 x 13

Step 2: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

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 507 and 510 is 3