What is the Greatest Common Factor of 2495 and 2500?

Greatest common factor (GCF) of 2495 and 2500 is 5.

GCF(2495,2500) = 5

We will now calculate the prime factors of 2495 and 2500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2495 and 2500.

How to find the GCF of 2495 and 2500?

We will first find the prime factorization of 2495 and 2500. After we will calculate the factors of 2495 and 2500 and find the biggest common factor number .

Step-1: Prime Factorization of 2495

Prime factors of 2495 are 5, 499. Prime factorization of 2495 in exponential form is:

2495 = 5¹ × 499¹

Step-2: Prime Factorization of 2500

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

2500 = 2² × 5⁴

Step-3: Factors of 2495

List of positive integer factors of 2495 that divides 2495 without a remainder.

1, 5, 499

Step-4: Factors of 2500

List of positive integer factors of 2500 that divides 2495 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2495 and 2500. The biggest common factor number is the GCF number.
So the greatest common factor 2495 and 2500 is 5.

Also check out the Least Common Multiple of 2495 and 2500