Greatest Common Factor of 509 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 509, 510 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 509 and 510 is 1.

GCF(509,510) = 1

GCF of 509 and 510

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

GCF of:
and

Greatest Common Factor of 509 and 510

GCF of 509 and 510 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 510


2 510
3 255
5 85
17 17
1

Prime factors of 510 are 2.Prime factorization of 510 in exponential form is:

510 = 21×31×51×171

∴ So by taking common prime factors GCF of 509 and 510 is 1

Greatest Common Factor of 509 and 510 by matching factors method

Factors of 509

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

1,509

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 509 and 510. The biggest common factor number is the GCF number.
So the greatest common factor 509 and 510 is 1.

Also check out the Least Common Multiple of 509 and 510

Properties of GCF 509 and 510

(i) The GCF of 509 and 510 is associative

GCF of 509 and 510 = GCF of 510 and 509

Related Greatest Common Factor of 509

Related Greatest Common Factor of 510

Frequently Asked Questions on GCF of 509 and 510

1. What is the GCF of 509 and 510?

Answer: GCF of 509 and 510 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 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 509 and 510?

Answer:

Greatest Common Factor of 509 and 510 = 1

Step 1: Find the prime factorization of 509

509 = 509

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 = = 1

Step 4: Therefore, the greatest common factor of 509 and 510 is 1