What is the Greatest Common Factor of 2494 and 2500?

Greatest common factor (GCF) of 2494 and 2500 is 2.

GCF(2494,2500) = 2

We will now calculate the prime factors of 2494 and 2500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2494 and 2500.

How to find the GCF of 2494 and 2500?

We will first find the prime factorization of 2494 and 2500. After we will calculate the factors of 2494 and 2500 and find the biggest common factor number .

Step-1: Prime Factorization of 2494

Prime factors of 2494 are 2, 29, 43. Prime factorization of 2494 in exponential form is:

2494 = 2¹ × 29¹ × 43¹

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 2494

List of positive integer factors of 2494 that divides 2494 without a remainder.

1, 2, 29, 43, 58, 86, 1247

Step-4: Factors of 2500

List of positive integer factors of 2500 that divides 2494 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 2494 and 2500. The biggest common factor number is the GCF number.
So the greatest common factor 2494 and 2500 is 2.

Also check out the Least Common Multiple of 2494 and 2500