What is the Greatest Common Factor of 58289 and 58297?

Greatest common factor (GCF) of 58289 and 58297 is 1.

GCF(58289,58297) = 1

We will now calculate the prime factors of 58289 and 58297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58289 and 58297.

How to find the GCF of 58289 and 58297?

We will first find the prime factorization of 58289 and 58297. After we will calculate the factors of 58289 and 58297 and find the biggest common factor number .

Step-1: Prime Factorization of 58289

Prime factors of 58289 are 7, 11, 757. Prime factorization of 58289 in exponential form is:

58289 = 7¹ × 11¹ × 757¹

Step-2: Prime Factorization of 58297

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

58297 = 97¹ × 601¹

Step-3: Factors of 58289

List of positive integer factors of 58289 that divides 58289 without a remainder.

1, 7, 11, 77, 757, 5299, 8327

Step-4: Factors of 58297

List of positive integer factors of 58297 that divides 58289 without a remainder.

1, 97, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58289 and 58297. The biggest common factor number is the GCF number.
So the greatest common factor 58289 and 58297 is 1.

Also check out the Least Common Multiple of 58289 and 58297