What is the Greatest Common Factor of 58297 and 58316?

Greatest common factor (GCF) of 58297 and 58316 is 1.

GCF(58297,58316) = 1

We will now calculate the prime factors of 58297 and 58316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58297 and 58316.

How to find the GCF of 58297 and 58316?

We will first find the prime factorization of 58297 and 58316. After we will calculate the factors of 58297 and 58316 and find the biggest common factor number .

Step-1: Prime Factorization of 58297

Prime factors of 58297 are 97, 601. Prime factorization of 58297 in exponential form is:

58297 = 97¹ × 601¹

Step-2: Prime Factorization of 58316

Prime factors of 58316 are 2, 61, 239. Prime factorization of 58316 in exponential form is:

58316 = 2² × 61¹ × 239¹

Step-3: Factors of 58297

List of positive integer factors of 58297 that divides 58297 without a remainder.

1, 97, 601

Step-4: Factors of 58316

List of positive integer factors of 58316 that divides 58297 without a remainder.

1, 2, 4, 61, 122, 239, 244, 478, 956, 14579, 29158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58297 and 58316. The biggest common factor number is the GCF number.
So the greatest common factor 58297 and 58316 is 1.

Also check out the Least Common Multiple of 58297 and 58316