What is the Greatest Common Factor of 58204 and 58210?

Greatest common factor (GCF) of 58204 and 58210 is 2.

GCF(58204,58210) = 2

We will now calculate the prime factors of 58204 and 58210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58204 and 58210.

How to find the GCF of 58204 and 58210?

We will first find the prime factorization of 58204 and 58210. After we will calculate the factors of 58204 and 58210 and find the biggest common factor number .

Step-1: Prime Factorization of 58204

Prime factors of 58204 are 2, 14551. Prime factorization of 58204 in exponential form is:

58204 = 2² × 14551¹

Step-2: Prime Factorization of 58210

Prime factors of 58210 are 2, 5, 5821. Prime factorization of 58210 in exponential form is:

58210 = 2¹ × 5¹ × 5821¹

Step-3: Factors of 58204

List of positive integer factors of 58204 that divides 58204 without a remainder.

1, 2, 4, 14551, 29102

Step-4: Factors of 58210

List of positive integer factors of 58210 that divides 58204 without a remainder.

1, 2, 5, 10, 5821, 11642, 29105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58204 and 58210. The biggest common factor number is the GCF number.
So the greatest common factor 58204 and 58210 is 2.

Also check out the Least Common Multiple of 58204 and 58210