What is the Greatest Common Factor of 2500 and 2515?

Greatest common factor (GCF) of 2500 and 2515 is 5.

GCF(2500,2515) = 5

We will now calculate the prime factors of 2500 and 2515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2500 and 2515.

How to find the GCF of 2500 and 2515?

We will first find the prime factorization of 2500 and 2515. After we will calculate the factors of 2500 and 2515 and find the biggest common factor number .

Step-1: Prime Factorization of 2500

Prime factors of 2500 are 2, 5. Prime factorization of 2500 in exponential form is:

2500 = 2² × 5⁴

Step-2: Prime Factorization of 2515

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

2515 = 5¹ × 503¹

Step-3: Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250

Step-4: Factors of 2515

List of positive integer factors of 2515 that divides 2500 without a remainder.

1, 5, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2500 and 2515. The biggest common factor number is the GCF number.
So the greatest common factor 2500 and 2515 is 5.

Also check out the Least Common Multiple of 2500 and 2515