What is the Greatest Common Factor of 72500 and 72514?

Greatest common factor (GCF) of 72500 and 72514 is 2.

GCF(72500,72514) = 2

We will now calculate the prime factors of 72500 and 72514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72500 and 72514.

How to find the GCF of 72500 and 72514?

We will first find the prime factorization of 72500 and 72514. After we will calculate the factors of 72500 and 72514 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72514

Prime factors of 72514 are 2, 13, 2789. Prime factorization of 72514 in exponential form is:

72514 = 2¹ × 13¹ × 2789¹

Step-3: Factors of 72500

List of positive integer factors of 72500 that divides 72500 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

Step-4: Factors of 72514

List of positive integer factors of 72514 that divides 72500 without a remainder.

1, 2, 13, 26, 2789, 5578, 36257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72500 and 72514. The biggest common factor number is the GCF number.
So the greatest common factor 72500 and 72514 is 2.

Also check out the Least Common Multiple of 72500 and 72514