What is the Greatest Common Factor of 58198 and 58204?

Greatest common factor (GCF) of 58198 and 58204 is 2.

GCF(58198,58204) = 2

We will now calculate the prime factors of 58198 and 58204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58198 and 58204.

How to find the GCF of 58198 and 58204?

We will first find the prime factorization of 58198 and 58204. After we will calculate the factors of 58198 and 58204 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58204

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

58204 = 2² × 14551¹

Step-3: Factors of 58198

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

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

Step-4: Factors of 58204

List of positive integer factors of 58204 that divides 58198 without a remainder.

1, 2, 4, 14551, 29102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58198 and 58204. The biggest common factor number is the GCF number.
So the greatest common factor 58198 and 58204 is 2.

Also check out the Least Common Multiple of 58198 and 58204