What is the Greatest Common Factor of 58164 and 58170?

Greatest common factor (GCF) of 58164 and 58170 is 6.

GCF(58164,58170) = 6

We will now calculate the prime factors of 58164 and 58170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58164 and 58170.

How to find the GCF of 58164 and 58170?

We will first find the prime factorization of 58164 and 58170. After we will calculate the factors of 58164 and 58170 and find the biggest common factor number .

Step-1: Prime Factorization of 58164

Prime factors of 58164 are 2, 3, 37, 131. Prime factorization of 58164 in exponential form is:

58164 = 2² × 3¹ × 37¹ × 131¹

Step-2: Prime Factorization of 58170

Prime factors of 58170 are 2, 3, 5, 7, 277. Prime factorization of 58170 in exponential form is:

58170 = 2¹ × 3¹ × 5¹ × 7¹ × 277¹

Step-3: Factors of 58164

List of positive integer factors of 58164 that divides 58164 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 131, 148, 222, 262, 393, 444, 524, 786, 1572, 4847, 9694, 14541, 19388, 29082

Step-4: Factors of 58170

List of positive integer factors of 58170 that divides 58164 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 277, 554, 831, 1385, 1662, 1939, 2770, 3878, 4155, 5817, 8310, 9695, 11634, 19390, 29085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58164 and 58170. The biggest common factor number is the GCF number.
So the greatest common factor 58164 and 58170 is 6.

Also check out the Least Common Multiple of 58164 and 58170