What is the Greatest Common Factor of 2489 and 2508?

Greatest common factor (GCF) of 2489 and 2508 is 19.

GCF(2489,2508) = 19

We will now calculate the prime factors of 2489 and 2508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2489 and 2508.

How to find the GCF of 2489 and 2508?

We will first find the prime factorization of 2489 and 2508. After we will calculate the factors of 2489 and 2508 and find the biggest common factor number .

Step-1: Prime Factorization of 2489

Prime factors of 2489 are 19, 131. Prime factorization of 2489 in exponential form is:

2489 = 19¹ × 131¹

Step-2: Prime Factorization of 2508

Prime factors of 2508 are 2, 3, 11, 19. Prime factorization of 2508 in exponential form is:

2508 = 2² × 3¹ × 11¹ × 19¹

Step-3: Factors of 2489

List of positive integer factors of 2489 that divides 2489 without a remainder.

1, 19, 131

Step-4: Factors of 2508

List of positive integer factors of 2508 that divides 2489 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2489 and 2508. The biggest common factor number is the GCF number.
So the greatest common factor 2489 and 2508 is 19.

Also check out the Least Common Multiple of 2489 and 2508