What is the Greatest Common Factor of 58205 and 58222?

Greatest common factor (GCF) of 58205 and 58222 is 1.

GCF(58205,58222) = 1

We will now calculate the prime factors of 58205 and 58222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58205 and 58222.

How to find the GCF of 58205 and 58222?

We will first find the prime factorization of 58205 and 58222. After we will calculate the factors of 58205 and 58222 and find the biggest common factor number .

Step-1: Prime Factorization of 58205

Prime factors of 58205 are 5, 7, 1663. Prime factorization of 58205 in exponential form is:

58205 = 5¹ × 7¹ × 1663¹

Step-2: Prime Factorization of 58222

Prime factors of 58222 are 2, 43, 677. Prime factorization of 58222 in exponential form is:

58222 = 2¹ × 43¹ × 677¹

Step-3: Factors of 58205

List of positive integer factors of 58205 that divides 58205 without a remainder.

1, 5, 7, 35, 1663, 8315, 11641

Step-4: Factors of 58222

List of positive integer factors of 58222 that divides 58205 without a remainder.

1, 2, 43, 86, 677, 1354, 29111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58205 and 58222. The biggest common factor number is the GCF number.
So the greatest common factor 58205 and 58222 is 1.

Also check out the Least Common Multiple of 58205 and 58222