What is the Greatest Common Factor of 586 and 597?

Greatest common factor (GCF) of 586 and 597 is 1.

GCF(586,597) = 1

We will now calculate the prime factors of 586 and 597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 586 and 597.

How to find the GCF of 586 and 597?

We will first find the prime factorization of 586 and 597. After we will calculate the factors of 586 and 597 and find the biggest common factor number .

Step-1: Prime Factorization of 586

Prime factors of 586 are 2, 293. Prime factorization of 586 in exponential form is:

586 = 2¹ × 293¹

Step-2: Prime Factorization of 597

Prime factors of 597 are 3, 199. Prime factorization of 597 in exponential form is:

597 = 3¹ × 199¹

Step-3: Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1, 2, 293

Step-4: Factors of 597

List of positive integer factors of 597 that divides 586 without a remainder.

1, 3, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 586 and 597. The biggest common factor number is the GCF number.
So the greatest common factor 586 and 597 is 1.

Also check out the Least Common Multiple of 586 and 597