What is the Greatest Common Factor of 58152 and 58158?

Greatest common factor (GCF) of 58152 and 58158 is 6.

GCF(58152,58158) = 6

We will now calculate the prime factors of 58152 and 58158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58152 and 58158.

How to find the GCF of 58152 and 58158?

We will first find the prime factorization of 58152 and 58158. After we will calculate the factors of 58152 and 58158 and find the biggest common factor number .

Step-1: Prime Factorization of 58152

Prime factors of 58152 are 2, 3, 2423. Prime factorization of 58152 in exponential form is:

58152 = 2³ × 3¹ × 2423¹

Step-2: Prime Factorization of 58158

Prime factors of 58158 are 2, 3, 359. Prime factorization of 58158 in exponential form is:

58158 = 2¹ × 3⁴ × 359¹

Step-3: Factors of 58152

List of positive integer factors of 58152 that divides 58152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2423, 4846, 7269, 9692, 14538, 19384, 29076

Step-4: Factors of 58158

List of positive integer factors of 58158 that divides 58152 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 359, 718, 1077, 2154, 3231, 6462, 9693, 19386, 29079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58152 and 58158. The biggest common factor number is the GCF number.
So the greatest common factor 58152 and 58158 is 6.

Also check out the Least Common Multiple of 58152 and 58158