What is the Greatest Common Factor of 2519 and 2538?

Greatest common factor (GCF) of 2519 and 2538 is 1.

GCF(2519,2538) = 1

We will now calculate the prime factors of 2519 and 2538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2519 and 2538.

How to find the GCF of 2519 and 2538?

We will first find the prime factorization of 2519 and 2538. After we will calculate the factors of 2519 and 2538 and find the biggest common factor number .

Step-1: Prime Factorization of 2519

Prime factors of 2519 are 11, 229. Prime factorization of 2519 in exponential form is:

2519 = 11¹ × 229¹

Step-2: Prime Factorization of 2538

Prime factors of 2538 are 2, 3, 47. Prime factorization of 2538 in exponential form is:

2538 = 2¹ × 3³ × 47¹

Step-3: Factors of 2519

List of positive integer factors of 2519 that divides 2519 without a remainder.

1, 11, 229

Step-4: Factors of 2538

List of positive integer factors of 2538 that divides 2519 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2519 and 2538. The biggest common factor number is the GCF number.
So the greatest common factor 2519 and 2538 is 1.

Also check out the Least Common Multiple of 2519 and 2538