What is the Greatest Common Factor of 2486 and 2500?

Greatest common factor (GCF) of 2486 and 2500 is 2.

GCF(2486,2500) = 2

We will now calculate the prime factors of 2486 and 2500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2486 and 2500.

How to find the GCF of 2486 and 2500?

We will first find the prime factorization of 2486 and 2500. After we will calculate the factors of 2486 and 2500 and find the biggest common factor number .

Step-1: Prime Factorization of 2486

Prime factors of 2486 are 2, 11, 113. Prime factorization of 2486 in exponential form is:

2486 = 2¹ × 11¹ × 113¹

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 2486

List of positive integer factors of 2486 that divides 2486 without a remainder.

1, 2, 11, 22, 113, 226, 1243

Step-4: Factors of 2500

List of positive integer factors of 2500 that divides 2486 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 2486 and 2500. The biggest common factor number is the GCF number.
So the greatest common factor 2486 and 2500 is 2.

Also check out the Least Common Multiple of 2486 and 2500