What is the Greatest Common Factor of 2500 and 2516?

Greatest common factor (GCF) of 2500 and 2516 is 4.

GCF(2500,2516) = 4

We will now calculate the prime factors of 2500 and 2516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2500 and 2516.

How to find the GCF of 2500 and 2516?

We will first find the prime factorization of 2500 and 2516. After we will calculate the factors of 2500 and 2516 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 2516

Prime factors of 2516 are 2, 17, 37. Prime factorization of 2516 in exponential form is:

2516 = 2² × 17¹ × 37¹

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 2516

List of positive integer factors of 2516 that divides 2500 without a remainder.

1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2500 and 2516. The biggest common factor number is the GCF number.
So the greatest common factor 2500 and 2516 is 4.

Also check out the Least Common Multiple of 2500 and 2516