What is the Greatest Common Factor of 58194 and 58198?

Greatest common factor (GCF) of 58194 and 58198 is 2.

GCF(58194,58198) = 2

We will now calculate the prime factors of 58194 and 58198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58194 and 58198.

How to find the GCF of 58194 and 58198?

We will first find the prime factorization of 58194 and 58198. After we will calculate the factors of 58194 and 58198 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 58198

Prime factors of 58198 are 2, 7, 4157. Prime factorization of 58198 in exponential form is:

58198 = 2¹ × 7¹ × 4157¹

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 58198

List of positive integer factors of 58198 that divides 58194 without a remainder.

1, 2, 7, 14, 4157, 8314, 29099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58194 and 58198. The biggest common factor number is the GCF number.
So the greatest common factor 58194 and 58198 is 2.

Also check out the Least Common Multiple of 58194 and 58198