What is the Greatest Common Factor of 2517 and 2535?

Greatest common factor (GCF) of 2517 and 2535 is 3.

GCF(2517,2535) = 3

We will now calculate the prime factors of 2517 and 2535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2517 and 2535.

How to find the GCF of 2517 and 2535?

We will first find the prime factorization of 2517 and 2535. After we will calculate the factors of 2517 and 2535 and find the biggest common factor number .

Step-1: Prime Factorization of 2517

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

2517 = 3¹ × 839¹

Step-2: Prime Factorization of 2535

Prime factors of 2535 are 3, 5, 13. Prime factorization of 2535 in exponential form is:

2535 = 3¹ × 5¹ × 13²

Step-3: Factors of 2517

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

1, 3, 839

Step-4: Factors of 2535

List of positive integer factors of 2535 that divides 2517 without a remainder.

1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2517 and 2535. The biggest common factor number is the GCF number.
So the greatest common factor 2517 and 2535 is 3.

Also check out the Least Common Multiple of 2517 and 2535