What is the Greatest Common Factor of 58194 and 58212?

Greatest common factor (GCF) of 58194 and 58212 is 18.

GCF(58194,58212) = 18

We will now calculate the prime factors of 58194 and 58212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58194 and 58212.

How to find the GCF of 58194 and 58212?

We will first find the prime factorization of 58194 and 58212. After we will calculate the factors of 58194 and 58212 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58212

Prime factors of 58212 are 2, 3, 7, 11. Prime factorization of 58212 in exponential form is:

58212 = 2² × 3³ × 7² × 11¹

Step-3: Factors of 58194

List of positive integer factors of 58194 that divides 58194 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

Step-4: Factors of 58212

List of positive integer factors of 58212 that divides 58194 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 49, 54, 63, 66, 77, 84, 98, 99, 108, 126, 132, 147, 154, 189, 196, 198, 231, 252, 294, 297, 308, 378, 396, 441, 462, 539, 588, 594, 693, 756, 882, 924, 1078, 1188, 1323, 1386, 1617, 1764, 2079, 2156, 2646, 2772, 3234, 4158, 4851, 5292, 6468, 8316, 9702, 14553, 19404, 29106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58194 and 58212. The biggest common factor number is the GCF number.
So the greatest common factor 58194 and 58212 is 18.

Also check out the Least Common Multiple of 58194 and 58212