Greatest Common Factor of 510 and 513

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 510, 513 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 510 and 513 is 3.

GCF(510,513) = 3

GCF of 510 and 513

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

GCF of:
and

Greatest Common Factor of 510 and 513

GCF of 510 and 513 is 3

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

Prime Factorization of 513


3 513
3 171
3 57
19 19
1

Prime factors of 513 are 3,19. Prime factorization of 513 in exponential form is:

513 = 33×191

∴ So by taking common prime factors GCF of 510 and 513 is 3

Greatest Common Factor of 510 and 513 by matching factors method

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

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors and prime factorization of 510 and 513. The biggest common factor number is the GCF number.
So the greatest common factor 510 and 513 is 3.

Also check out the Least Common Multiple of 510 and 513

Properties of GCF 510 and 513

(i) The GCF of 510 and 513 is associative

GCF of 510 and 513 = GCF of 513 and 510

Related Greatest Common Factor of 510

Related Greatest Common Factor of 513

Frequently Asked Questions on GCF of 510 and 513

1. What is the GCF of 510 and 513?

Answer: GCF of 510 and 513 is 3.

2. 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.

3. What are the Factors of 513?

Answer: Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. There are 8 integers that are factors of 513. The greatest factor of 513 is 513.

4. How to Find the GCF of 510 and 513?

Answer:

Greatest Common Factor of 510 and 513 = 3

Step 1: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

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 510 and 513 is 3