What is the Greatest Common Factor of 58164 and 58180?

Greatest common factor (GCF) of 58164 and 58180 is 4.

GCF(58164,58180) = 4

We will now calculate the prime factors of 58164 and 58180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58164 and 58180.

How to find the GCF of 58164 and 58180?

We will first find the prime factorization of 58164 and 58180. After we will calculate the factors of 58164 and 58180 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 58180

Prime factors of 58180 are 2, 5, 2909. Prime factorization of 58180 in exponential form is:

58180 = 2² × 5¹ × 2909¹

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 58180

List of positive integer factors of 58180 that divides 58164 without a remainder.

1, 2, 4, 5, 10, 20, 2909, 5818, 11636, 14545, 29090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58164 and 58180. The biggest common factor number is the GCF number.
So the greatest common factor 58164 and 58180 is 4.

Also check out the Least Common Multiple of 58164 and 58180