What is the Greatest Common Factor of 72217 and 72237?

Greatest common factor (GCF) of 72217 and 72237 is 1.

GCF(72217,72237) = 1

We will now calculate the prime factors of 72217 and 72237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72217 and 72237.

How to find the GCF of 72217 and 72237?

We will first find the prime factorization of 72217 and 72237. After we will calculate the factors of 72217 and 72237 and find the biggest common factor number .

Step-1: Prime Factorization of 72217

Prime factors of 72217 are 257, 281. Prime factorization of 72217 in exponential form is:

72217 = 257¹ × 281¹

Step-2: Prime Factorization of 72237

Prime factors of 72237 are 3, 11, 199. Prime factorization of 72237 in exponential form is:

72237 = 3¹ × 11² × 199¹

Step-3: Factors of 72217

List of positive integer factors of 72217 that divides 72217 without a remainder.

1, 257, 281

Step-4: Factors of 72237

List of positive integer factors of 72237 that divides 72217 without a remainder.

1, 3, 11, 33, 121, 199, 363, 597, 2189, 6567, 24079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72217 and 72237. The biggest common factor number is the GCF number.
So the greatest common factor 72217 and 72237 is 1.

Also check out the Least Common Multiple of 72217 and 72237