What is the Greatest Common Factor of 72267 and 72284?

Greatest common factor (GCF) of 72267 and 72284 is 17.

GCF(72267,72284) = 17

We will now calculate the prime factors of 72267 and 72284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72267 and 72284.

How to find the GCF of 72267 and 72284?

We will first find the prime factorization of 72267 and 72284. After we will calculate the factors of 72267 and 72284 and find the biggest common factor number .

Step-1: Prime Factorization of 72267

Prime factors of 72267 are 3, 13, 17, 109. Prime factorization of 72267 in exponential form is:

72267 = 3¹ × 13¹ × 17¹ × 109¹

Step-2: Prime Factorization of 72284

Prime factors of 72284 are 2, 17, 1063. Prime factorization of 72284 in exponential form is:

72284 = 2² × 17¹ × 1063¹

Step-3: Factors of 72267

List of positive integer factors of 72267 that divides 72267 without a remainder.

1, 3, 13, 17, 39, 51, 109, 221, 327, 663, 1417, 1853, 4251, 5559, 24089

Step-4: Factors of 72284

List of positive integer factors of 72284 that divides 72267 without a remainder.

1, 2, 4, 17, 34, 68, 1063, 2126, 4252, 18071, 36142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72267 and 72284. The biggest common factor number is the GCF number.
So the greatest common factor 72267 and 72284 is 17.

Also check out the Least Common Multiple of 72267 and 72284