What is the Greatest Common Factor of 2515 and 2530?

Greatest common factor (GCF) of 2515 and 2530 is 5.

GCF(2515,2530) = 5

We will now calculate the prime factors of 2515 and 2530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2515 and 2530.

How to find the GCF of 2515 and 2530?

We will first find the prime factorization of 2515 and 2530. After we will calculate the factors of 2515 and 2530 and find the biggest common factor number .

Step-1: Prime Factorization of 2515

Prime factors of 2515 are 5, 503. Prime factorization of 2515 in exponential form is:

2515 = 5¹ × 503¹

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 2515

List of positive integer factors of 2515 that divides 2515 without a remainder.

1, 5, 503

Step-4: Factors of 2530

List of positive integer factors of 2530 that divides 2515 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 2515 and 2530. The biggest common factor number is the GCF number.
So the greatest common factor 2515 and 2530 is 5.

Also check out the Least Common Multiple of 2515 and 2530