What is the Greatest Common Factor of 59218 and 59226?

Greatest common factor (GCF) of 59218 and 59226 is 2.

GCF(59218,59226) = 2

We will now calculate the prime factors of 59218 and 59226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59218 and 59226.

How to find the GCF of 59218 and 59226?

We will first find the prime factorization of 59218 and 59226. After we will calculate the factors of 59218 and 59226 and find the biggest common factor number .

Step-1: Prime Factorization of 59218

Prime factors of 59218 are 2, 29, 1021. Prime factorization of 59218 in exponential form is:

59218 = 2¹ × 29¹ × 1021¹

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 59218

List of positive integer factors of 59218 that divides 59218 without a remainder.

1, 2, 29, 58, 1021, 2042, 29609

Step-4: Factors of 59226

List of positive integer factors of 59226 that divides 59218 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59218 and 59226. The biggest common factor number is the GCF number.
So the greatest common factor 59218 and 59226 is 2.

Also check out the Least Common Multiple of 59218 and 59226