What is the Greatest Common Factor of 2519 and 2530?

Greatest common factor (GCF) of 2519 and 2530 is 11.

GCF(2519,2530) = 11

We will now calculate the prime factors of 2519 and 2530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2519 and 2530.

How to find the GCF of 2519 and 2530?

We will first find the prime factorization of 2519 and 2530. After we will calculate the factors of 2519 and 2530 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 2530

Prime factors of 2530 are 2, 5, 11, 23. Prime factorization of 2530 in exponential form is:

2530 = 2¹ × 5¹ × 11¹ × 23¹

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 2530

List of positive integer factors of 2530 that divides 2519 without a remainder.

1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2519 and 2530. The biggest common factor number is the GCF number.
So the greatest common factor 2519 and 2530 is 11.

Also check out the Least Common Multiple of 2519 and 2530