Greatest Common Factor of 509 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 509, 513 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 509 and 513 is 1.

GCF(509,513) = 1

GCF of 509 and 513

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

GCF of:
and

Greatest Common Factor of 509 and 513

GCF of 509 and 513 is 1

Prime Factorization of 509


509 509
1

Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:

509 = 5091

Prime Factorization of 513


3 513
3 171
3 57
19 19
1

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

513 = 33×191

∴ So by taking common prime factors GCF of 509 and 513 is 1

Greatest Common Factor of 509 and 513 by matching factors method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

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 509 and 513. The biggest common factor number is the GCF number.
So the greatest common factor 509 and 513 is 1.

Also check out the Least Common Multiple of 509 and 513

Properties of GCF 509 and 513

(i) The GCF of 509 and 513 is associative

GCF of 509 and 513 = GCF of 513 and 509

Related Greatest Common Factor of 509

Related Greatest Common Factor of 513

Frequently Asked Questions on GCF of 509 and 513

1. What is the GCF of 509 and 513?

Answer: GCF of 509 and 513 is 1.

2. What are the Factors of 509?

Answer: Factors of 509 are 1, 509. There are 2 integers that are factors of 509. The greatest factor of 509 is 509.

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 509 and 513?

Answer:

Greatest Common Factor of 509 and 513 = 1

Step 1: Find the prime factorization of 509

509 = 509

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 = = 1

Step 4: Therefore, the greatest common factor of 509 and 513 is 1