What is the Greatest Common Factor of 72357 and 72372?

Greatest common factor (GCF) of 72357 and 72372 is 3.

GCF(72357,72372) = 3

We will now calculate the prime factors of 72357 and 72372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72357 and 72372.

How to find the GCF of 72357 and 72372?

We will first find the prime factorization of 72357 and 72372. After we will calculate the factors of 72357 and 72372 and find the biggest common factor number .

Step-1: Prime Factorization of 72357

Prime factors of 72357 are 3, 89, 271. Prime factorization of 72357 in exponential form is:

72357 = 3¹ × 89¹ × 271¹

Step-2: Prime Factorization of 72372

Prime factors of 72372 are 2, 3, 37, 163. Prime factorization of 72372 in exponential form is:

72372 = 2² × 3¹ × 37¹ × 163¹

Step-3: Factors of 72357

List of positive integer factors of 72357 that divides 72357 without a remainder.

1, 3, 89, 267, 271, 813, 24119

Step-4: Factors of 72372

List of positive integer factors of 72372 that divides 72357 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 163, 222, 326, 444, 489, 652, 978, 1956, 6031, 12062, 18093, 24124, 36186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72357 and 72372. The biggest common factor number is the GCF number.
So the greatest common factor 72357 and 72372 is 3.

Also check out the Least Common Multiple of 72357 and 72372