What is the Greatest Common Factor of 2493 and 2511?

Greatest common factor (GCF) of 2493 and 2511 is 9.

GCF(2493,2511) = 9

We will now calculate the prime factors of 2493 and 2511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2493 and 2511.

How to find the GCF of 2493 and 2511?

We will first find the prime factorization of 2493 and 2511. After we will calculate the factors of 2493 and 2511 and find the biggest common factor number .

Step-1: Prime Factorization of 2493

Prime factors of 2493 are 3, 277. Prime factorization of 2493 in exponential form is:

2493 = 3² × 277¹

Step-2: Prime Factorization of 2511

Prime factors of 2511 are 3, 31. Prime factorization of 2511 in exponential form is:

2511 = 3⁴ × 31¹

Step-3: Factors of 2493

List of positive integer factors of 2493 that divides 2493 without a remainder.

1, 3, 9, 277, 831

Step-4: Factors of 2511

List of positive integer factors of 2511 that divides 2493 without a remainder.

1, 3, 9, 27, 31, 81, 93, 279, 837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2493 and 2511. The biggest common factor number is the GCF number.
So the greatest common factor 2493 and 2511 is 9.

Also check out the Least Common Multiple of 2493 and 2511