What is the Greatest Common Factor of 59166 and 59181?

Greatest common factor (GCF) of 59166 and 59181 is 3.

GCF(59166,59181) = 3

We will now calculate the prime factors of 59166 and 59181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59166 and 59181.

How to find the GCF of 59166 and 59181?

We will first find the prime factorization of 59166 and 59181. After we will calculate the factors of 59166 and 59181 and find the biggest common factor number .

Step-1: Prime Factorization of 59166

Prime factors of 59166 are 2, 3, 19, 173. Prime factorization of 59166 in exponential form is:

59166 = 2¹ × 3² × 19¹ × 173¹

Step-2: Prime Factorization of 59181

Prime factors of 59181 are 3, 19727. Prime factorization of 59181 in exponential form is:

59181 = 3¹ × 19727¹

Step-3: Factors of 59166

List of positive integer factors of 59166 that divides 59166 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 173, 342, 346, 519, 1038, 1557, 3114, 3287, 6574, 9861, 19722, 29583

Step-4: Factors of 59181

List of positive integer factors of 59181 that divides 59166 without a remainder.

1, 3, 19727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59166 and 59181. The biggest common factor number is the GCF number.
So the greatest common factor 59166 and 59181 is 3.

Also check out the Least Common Multiple of 59166 and 59181