What is the Greatest Common Factor of 59166 and 59175?

Greatest common factor (GCF) of 59166 and 59175 is 9.

GCF(59166,59175) = 9

We will now calculate the prime factors of 59166 and 59175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59166 and 59175.

How to find the GCF of 59166 and 59175?

We will first find the prime factorization of 59166 and 59175. After we will calculate the factors of 59166 and 59175 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 59175

Prime factors of 59175 are 3, 5, 263. Prime factorization of 59175 in exponential form is:

59175 = 3² × 5² × 263¹

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 59175

List of positive integer factors of 59175 that divides 59166 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 263, 789, 1315, 2367, 3945, 6575, 11835, 19725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59166 and 59175. The biggest common factor number is the GCF number.
So the greatest common factor 59166 and 59175 is 9.

Also check out the Least Common Multiple of 59166 and 59175