What is the Greatest Common Factor of 2500 and 2504?

Greatest common factor (GCF) of 2500 and 2504 is 4.

GCF(2500,2504) = 4

We will now calculate the prime factors of 2500 and 2504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2500 and 2504.

How to find the GCF of 2500 and 2504?

We will first find the prime factorization of 2500 and 2504. After we will calculate the factors of 2500 and 2504 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 2504

Prime factors of 2504 are 2, 313. Prime factorization of 2504 in exponential form is:

2504 = 2³ × 313¹

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 2504

List of positive integer factors of 2504 that divides 2500 without a remainder.

1, 2, 4, 8, 313, 626, 1252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2500 and 2504. The biggest common factor number is the GCF number.
So the greatest common factor 2500 and 2504 is 4.

Also check out the Least Common Multiple of 2500 and 2504