What is the Greatest Common Factor of 72496 and 72500?

Greatest common factor (GCF) of 72496 and 72500 is 4.

GCF(72496,72500) = 4

We will now calculate the prime factors of 72496 and 72500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72496 and 72500.

How to find the GCF of 72496 and 72500?

We will first find the prime factorization of 72496 and 72500. After we will calculate the factors of 72496 and 72500 and find the biggest common factor number .

Step-1: Prime Factorization of 72496

Prime factors of 72496 are 2, 23, 197. Prime factorization of 72496 in exponential form is:

72496 = 2⁴ × 23¹ × 197¹

Step-2: Prime Factorization of 72500

Prime factors of 72500 are 2, 5, 29. Prime factorization of 72500 in exponential form is:

72500 = 2² × 5⁴ × 29¹

Step-3: Factors of 72496

List of positive integer factors of 72496 that divides 72496 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 197, 368, 394, 788, 1576, 3152, 4531, 9062, 18124, 36248

Step-4: Factors of 72500

List of positive integer factors of 72500 that divides 72496 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 125, 145, 250, 290, 500, 580, 625, 725, 1250, 1450, 2500, 2900, 3625, 7250, 14500, 18125, 36250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72496 and 72500. The biggest common factor number is the GCF number.
So the greatest common factor 72496 and 72500 is 4.

Also check out the Least Common Multiple of 72496 and 72500