What is the Greatest Common Factor of 59208 and 59227?

Greatest common factor (GCF) of 59208 and 59227 is 1.

GCF(59208,59227) = 1

We will now calculate the prime factors of 59208 and 59227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59208 and 59227.

How to find the GCF of 59208 and 59227?

We will first find the prime factorization of 59208 and 59227. After we will calculate the factors of 59208 and 59227 and find the biggest common factor number .

Step-1: Prime Factorization of 59208

Prime factors of 59208 are 2, 3, 2467. Prime factorization of 59208 in exponential form is:

59208 = 2³ × 3¹ × 2467¹

Step-2: Prime Factorization of 59227

Prime factors of 59227 are 7, 8461. Prime factorization of 59227 in exponential form is:

59227 = 7¹ × 8461¹

Step-3: Factors of 59208

List of positive integer factors of 59208 that divides 59208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2467, 4934, 7401, 9868, 14802, 19736, 29604

Step-4: Factors of 59227

List of positive integer factors of 59227 that divides 59208 without a remainder.

1, 7, 8461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59208 and 59227. The biggest common factor number is the GCF number.
So the greatest common factor 59208 and 59227 is 1.

Also check out the Least Common Multiple of 59208 and 59227