What is the Greatest Common Factor of 72357 and 72363?

Greatest common factor (GCF) of 72357 and 72363 is 3.

GCF(72357,72363) = 3

We will now calculate the prime factors of 72357 and 72363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72357 and 72363.

How to find the GCF of 72357 and 72363?

We will first find the prime factorization of 72357 and 72363. After we will calculate the factors of 72357 and 72363 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 72363

Prime factors of 72363 are 3, 24121. Prime factorization of 72363 in exponential form is:

72363 = 3¹ × 24121¹

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 72363

List of positive integer factors of 72363 that divides 72357 without a remainder.

1, 3, 24121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72357 and 72363. The biggest common factor number is the GCF number.
So the greatest common factor 72357 and 72363 is 3.

Also check out the Least Common Multiple of 72357 and 72363