What is the Greatest Common Factor of 58284 and 58302?

Greatest common factor (GCF) of 58284 and 58302 is 18.

GCF(58284,58302) = 18

We will now calculate the prime factors of 58284 and 58302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58284 and 58302.

How to find the GCF of 58284 and 58302?

We will first find the prime factorization of 58284 and 58302. After we will calculate the factors of 58284 and 58302 and find the biggest common factor number .

Step-1: Prime Factorization of 58284

Prime factors of 58284 are 2, 3, 1619. Prime factorization of 58284 in exponential form is:

58284 = 2² × 3² × 1619¹

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 58284

List of positive integer factors of 58284 that divides 58284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1619, 3238, 4857, 6476, 9714, 14571, 19428, 29142

Step-4: Factors of 58302

List of positive integer factors of 58302 that divides 58284 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 58284 and 58302. The biggest common factor number is the GCF number.
So the greatest common factor 58284 and 58302 is 18.

Also check out the Least Common Multiple of 58284 and 58302