What is the Greatest Common Factor of 59208 and 59226?

Greatest common factor (GCF) of 59208 and 59226 is 6.

GCF(59208,59226) = 6

We will now calculate the prime factors of 59208 and 59226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59208 and 59226.

How to find the GCF of 59208 and 59226?

We will first find the prime factorization of 59208 and 59226. After we will calculate the factors of 59208 and 59226 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 59226

Prime factors of 59226 are 2, 3, 9871. Prime factorization of 59226 in exponential form is:

59226 = 2¹ × 3¹ × 9871¹

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 59226

List of positive integer factors of 59226 that divides 59208 without a remainder.

1, 2, 3, 6, 9871, 19742, 29613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59208 and 59226. The biggest common factor number is the GCF number.
So the greatest common factor 59208 and 59226 is 6.

Also check out the Least Common Multiple of 59208 and 59226