What is the Greatest Common Factor of 58922 and 58939?

Greatest common factor (GCF) of 58922 and 58939 is 17.

GCF(58922,58939) = 17

We will now calculate the prime factors of 58922 and 58939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58922 and 58939.

How to find the GCF of 58922 and 58939?

We will first find the prime factorization of 58922 and 58939. After we will calculate the factors of 58922 and 58939 and find the biggest common factor number .

Step-1: Prime Factorization of 58922

Prime factors of 58922 are 2, 17, 1733. Prime factorization of 58922 in exponential form is:

58922 = 2¹ × 17¹ × 1733¹

Step-2: Prime Factorization of 58939

Prime factors of 58939 are 17, 3467. Prime factorization of 58939 in exponential form is:

58939 = 17¹ × 3467¹

Step-3: Factors of 58922

List of positive integer factors of 58922 that divides 58922 without a remainder.

1, 2, 17, 34, 1733, 3466, 29461

Step-4: Factors of 58939

List of positive integer factors of 58939 that divides 58922 without a remainder.

1, 17, 3467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58922 and 58939. The biggest common factor number is the GCF number.
So the greatest common factor 58922 and 58939 is 17.

Also check out the Least Common Multiple of 58922 and 58939