What is the Greatest Common Factor of 58176 and 58194?

Greatest common factor (GCF) of 58176 and 58194 is 18.

GCF(58176,58194) = 18

We will now calculate the prime factors of 58176 and 58194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58176 and 58194.

How to find the GCF of 58176 and 58194?

We will first find the prime factorization of 58176 and 58194. After we will calculate the factors of 58176 and 58194 and find the biggest common factor number .

Step-1: Prime Factorization of 58176

Prime factors of 58176 are 2, 3, 101. Prime factorization of 58176 in exponential form is:

58176 = 2⁶ × 3² × 101¹

Step-2: Prime Factorization of 58194

Prime factors of 58194 are 2, 3, 53, 61. Prime factorization of 58194 in exponential form is:

58194 = 2¹ × 3² × 53¹ × 61¹

Step-3: Factors of 58176

List of positive integer factors of 58176 that divides 58176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 101, 144, 192, 202, 288, 303, 404, 576, 606, 808, 909, 1212, 1616, 1818, 2424, 3232, 3636, 4848, 6464, 7272, 9696, 14544, 19392, 29088

Step-4: Factors of 58194

List of positive integer factors of 58194 that divides 58176 without a remainder.

1, 2, 3, 6, 9, 18, 53, 61, 106, 122, 159, 183, 318, 366, 477, 549, 954, 1098, 3233, 6466, 9699, 19398, 29097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58176 and 58194. The biggest common factor number is the GCF number.
So the greatest common factor 58176 and 58194 is 18.

Also check out the Least Common Multiple of 58176 and 58194