What is the Greatest Common Factor of 72375 and 72391?

Greatest common factor (GCF) of 72375 and 72391 is 1.

GCF(72375,72391) = 1

We will now calculate the prime factors of 72375 and 72391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72375 and 72391.

How to find the GCF of 72375 and 72391?

We will first find the prime factorization of 72375 and 72391. After we will calculate the factors of 72375 and 72391 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 72391

Prime factors of 72391 are 11, 6581. Prime factorization of 72391 in exponential form is:

72391 = 11¹ × 6581¹

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 72391

List of positive integer factors of 72391 that divides 72375 without a remainder.

1, 11, 6581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72375 and 72391. The biggest common factor number is the GCF number.
So the greatest common factor 72375 and 72391 is 1.

Also check out the Least Common Multiple of 72375 and 72391