What is the Greatest Common Factor of 72237 and 72256?

Greatest common factor (GCF) of 72237 and 72256 is 1.

GCF(72237,72256) = 1

We will now calculate the prime factors of 72237 and 72256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72237 and 72256.

How to find the GCF of 72237 and 72256?

We will first find the prime factorization of 72237 and 72256. After we will calculate the factors of 72237 and 72256 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72256

Prime factors of 72256 are 2, 1129. Prime factorization of 72256 in exponential form is:

72256 = 2⁶ × 1129¹

Step-3: Factors of 72237

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

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

Step-4: Factors of 72256

List of positive integer factors of 72256 that divides 72237 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1129, 2258, 4516, 9032, 18064, 36128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72237 and 72256. The biggest common factor number is the GCF number.
So the greatest common factor 72237 and 72256 is 1.

Also check out the Least Common Multiple of 72237 and 72256