What is the Greatest Common Factor of 24494 and 24500?

Greatest common factor (GCF) of 24494 and 24500 is 2.

GCF(24494,24500) = 2

We will now calculate the prime factors of 24494 and 24500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24494 and 24500.

How to find the GCF of 24494 and 24500?

We will first find the prime factorization of 24494 and 24500. After we will calculate the factors of 24494 and 24500 and find the biggest common factor number .

Step-1: Prime Factorization of 24494

Prime factors of 24494 are 2, 37, 331. Prime factorization of 24494 in exponential form is:

24494 = 2¹ × 37¹ × 331¹

Step-2: Prime Factorization of 24500

Prime factors of 24500 are 2, 5, 7. Prime factorization of 24500 in exponential form is:

24500 = 2² × 5³ × 7²

Step-3: Factors of 24494

List of positive integer factors of 24494 that divides 24494 without a remainder.

1, 2, 37, 74, 331, 662, 12247

Step-4: Factors of 24500

List of positive integer factors of 24500 that divides 24494 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24494 and 24500. The biggest common factor number is the GCF number.
So the greatest common factor 24494 and 24500 is 2.

Also check out the Least Common Multiple of 24494 and 24500