What is the Greatest Common Factor of 58086 and 58104?

Greatest common factor (GCF) of 58086 and 58104 is 18.

GCF(58086,58104) = 18

We will now calculate the prime factors of 58086 and 58104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58086 and 58104.

How to find the GCF of 58086 and 58104?

We will first find the prime factorization of 58086 and 58104. After we will calculate the factors of 58086 and 58104 and find the biggest common factor number .

Step-1: Prime Factorization of 58086

Prime factors of 58086 are 2, 3, 7, 461. Prime factorization of 58086 in exponential form is:

58086 = 2¹ × 3² × 7¹ × 461¹

Step-2: Prime Factorization of 58104

Prime factors of 58104 are 2, 3, 269. Prime factorization of 58104 in exponential form is:

58104 = 2³ × 3³ × 269¹

Step-3: Factors of 58086

List of positive integer factors of 58086 that divides 58086 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 461, 922, 1383, 2766, 3227, 4149, 6454, 8298, 9681, 19362, 29043

Step-4: Factors of 58104

List of positive integer factors of 58104 that divides 58086 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 269, 538, 807, 1076, 1614, 2152, 2421, 3228, 4842, 6456, 7263, 9684, 14526, 19368, 29052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58086 and 58104. The biggest common factor number is the GCF number.
So the greatest common factor 58086 and 58104 is 18.

Also check out the Least Common Multiple of 58086 and 58104