What is the Greatest Common Factor of 72375 and 72394?

Greatest common factor (GCF) of 72375 and 72394 is 1.

GCF(72375,72394) = 1

We will now calculate the prime factors of 72375 and 72394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72375 and 72394.

How to find the GCF of 72375 and 72394?

We will first find the prime factorization of 72375 and 72394. After we will calculate the factors of 72375 and 72394 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 72394

Prime factors of 72394 are 2, 7, 5171. Prime factorization of 72394 in exponential form is:

72394 = 2¹ × 7¹ × 5171¹

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 72394

List of positive integer factors of 72394 that divides 72375 without a remainder.

1, 2, 7, 14, 5171, 10342, 36197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72375 and 72394. The biggest common factor number is the GCF number.
So the greatest common factor 72375 and 72394 is 1.

Also check out the Least Common Multiple of 72375 and 72394