What is the Greatest Common Factor of 72375 and 72392?

Greatest common factor (GCF) of 72375 and 72392 is 1.

GCF(72375,72392) = 1

We will now calculate the prime factors of 72375 and 72392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72375 and 72392.

How to find the GCF of 72375 and 72392?

We will first find the prime factorization of 72375 and 72392. After we will calculate the factors of 72375 and 72392 and find the biggest common factor number .

Step-1: Prime Factorization of 72375

Prime factors of 72375 are 3, 5, 193. Prime factorization of 72375 in exponential form is:

72375 = 3¹ × 5³ × 193¹

Step-2: Prime Factorization of 72392

Prime factors of 72392 are 2, 9049. Prime factorization of 72392 in exponential form is:

72392 = 2³ × 9049¹

Step-3: Factors of 72375

List of positive integer factors of 72375 that divides 72375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 193, 375, 579, 965, 2895, 4825, 14475, 24125

Step-4: Factors of 72392

List of positive integer factors of 72392 that divides 72375 without a remainder.

1, 2, 4, 8, 9049, 18098, 36196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72375 and 72392. The biggest common factor number is the GCF number.
So the greatest common factor 72375 and 72392 is 1.

Also check out the Least Common Multiple of 72375 and 72392