What is the Greatest Common Factor of 58286 and 58302?

Greatest common factor (GCF) of 58286 and 58302 is 2.

GCF(58286,58302) = 2

We will now calculate the prime factors of 58286 and 58302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58286 and 58302.

How to find the GCF of 58286 and 58302?

We will first find the prime factorization of 58286 and 58302. After we will calculate the factors of 58286 and 58302 and find the biggest common factor number .

Step-1: Prime Factorization of 58286

Prime factors of 58286 are 2, 151, 193. Prime factorization of 58286 in exponential form is:

58286 = 2¹ × 151¹ × 193¹

Step-2: Prime Factorization of 58302

Prime factors of 58302 are 2, 3, 41, 79. Prime factorization of 58302 in exponential form is:

58302 = 2¹ × 3² × 41¹ × 79¹

Step-3: Factors of 58286

List of positive integer factors of 58286 that divides 58286 without a remainder.

1, 2, 151, 193, 302, 386, 29143

Step-4: Factors of 58302

List of positive integer factors of 58302 that divides 58286 without a remainder.

1, 2, 3, 6, 9, 18, 41, 79, 82, 123, 158, 237, 246, 369, 474, 711, 738, 1422, 3239, 6478, 9717, 19434, 29151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58286 and 58302. The biggest common factor number is the GCF number.
So the greatest common factor 58286 and 58302 is 2.

Also check out the Least Common Multiple of 58286 and 58302