What is the Greatest Common Factor of 59148 and 59166?

Greatest common factor (GCF) of 59148 and 59166 is 18.

GCF(59148,59166) = 18

We will now calculate the prime factors of 59148 and 59166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59148 and 59166.

How to find the GCF of 59148 and 59166?

We will first find the prime factorization of 59148 and 59166. After we will calculate the factors of 59148 and 59166 and find the biggest common factor number .

Step-1: Prime Factorization of 59148

Prime factors of 59148 are 2, 3, 31, 53. Prime factorization of 59148 in exponential form is:

59148 = 2² × 3² × 31¹ × 53¹

Step-2: 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-3: Factors of 59148

List of positive integer factors of 59148 that divides 59148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 53, 62, 93, 106, 124, 159, 186, 212, 279, 318, 372, 477, 558, 636, 954, 1116, 1643, 1908, 3286, 4929, 6572, 9858, 14787, 19716, 29574

Step-4: Factors of 59166

List of positive integer factors of 59166 that divides 59148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59148 and 59166. The biggest common factor number is the GCF number.
So the greatest common factor 59148 and 59166 is 18.

Also check out the Least Common Multiple of 59148 and 59166