What is the Greatest Common Factor of 72500 and 72510?

Greatest common factor (GCF) of 72500 and 72510 is 10.

GCF(72500,72510) = 10

We will now calculate the prime factors of 72500 and 72510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72500 and 72510.

How to find the GCF of 72500 and 72510?

We will first find the prime factorization of 72500 and 72510. After we will calculate the factors of 72500 and 72510 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 72510

Prime factors of 72510 are 2, 3, 5, 2417. Prime factorization of 72510 in exponential form is:

72510 = 2¹ × 3¹ × 5¹ × 2417¹

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 72510

List of positive integer factors of 72510 that divides 72500 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2417, 4834, 7251, 12085, 14502, 24170, 36255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72500 and 72510. The biggest common factor number is the GCF number.
So the greatest common factor 72500 and 72510 is 10.

Also check out the Least Common Multiple of 72500 and 72510