What is the Greatest Common Factor of 72208 and 72227?

Greatest common factor (GCF) of 72208 and 72227 is 1.

GCF(72208,72227) = 1

We will now calculate the prime factors of 72208 and 72227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72208 and 72227.

How to find the GCF of 72208 and 72227?

We will first find the prime factorization of 72208 and 72227. After we will calculate the factors of 72208 and 72227 and find the biggest common factor number .

Step-1: Prime Factorization of 72208

Prime factors of 72208 are 2, 4513. Prime factorization of 72208 in exponential form is:

72208 = 2⁴ × 4513¹

Step-2: Prime Factorization of 72227

Prime factors of 72227 are 72227. Prime factorization of 72227 in exponential form is:

72227 = 72227¹

Step-3: Factors of 72208

List of positive integer factors of 72208 that divides 72208 without a remainder.

1, 2, 4, 8, 16, 4513, 9026, 18052, 36104

Step-4: Factors of 72227

List of positive integer factors of 72227 that divides 72208 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72208 and 72227. The biggest common factor number is the GCF number.
So the greatest common factor 72208 and 72227 is 1.

Also check out the Least Common Multiple of 72208 and 72227