Greatest Common Factor of 2509 and 2517

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 2509, 2517 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2509 and 2517 is 1.

GCF(2509,2517) = 1

GCF of 2509 and 2517

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

GCF of:
and

Greatest Common Factor of 2509 and 2517

GCF of 2509 and 2517 is 1

Prime Factorization of 2509


13 2509
193 193
1

Prime factors of 2509 are 13,193. Prime factorization of 2509 in exponential form is:

2509 = 131×1931

Prime Factorization of 2517


3 2517
839 839
1

Prime factors of 2517 are 3,839. Prime factorization of 2517 in exponential form is:

2517 = 31×8391

∴ So by taking common prime factors GCF of 2509 and 2517 is 1

Greatest Common Factor of 2509 and 2517 by matching factors method

Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1,13,193,2509

Factors of 2517

List of positive integer factors of 2517 that divides 2517 without a remainder.

1,3,839,2517

Greatest Common Factor

We found the factors and prime factorization of 2509 and 2517. The biggest common factor number is the GCF number.
So the greatest common factor 2509 and 2517 is 1.

Also check out the Least Common Multiple of 2509 and 2517

Properties of GCF 2509 and 2517

(i) The GCF of 2509 and 2517 is associative

GCF of 2509 and 2517 = GCF of 2517 and 2509

Related Greatest Common Factor of 2509

Related Greatest Common Factor of 2517

Frequently Asked Questions on GCF of 2509 and 2517

1. What is the GCF of 2509 and 2517?

Answer: GCF of 2509 and 2517 is 1.

2. What are the Factors of 2509?

Answer: Factors of 2509 are 1, 13, 193, 2509. There are 4 integers that are factors of 2509. The greatest factor of 2509 is 2509.

3. What are the Factors of 2517?

Answer: Factors of 2517 are 1, 3, 839, 2517. There are 4 integers that are factors of 2517. The greatest factor of 2517 is 2517.

4. How to Find the GCF of 2509 and 2517?

Answer:

Greatest Common Factor of 2509 and 2517 = 1

Step 1: Find the prime factorization of 2509

2509 = 13 x 193

Step 2: Find the prime factorization of 2517

2517 = 3 x 839

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 2509 and 2517 is 1