What is the Greatest Common Factor of 58917 and 58922?

Greatest common factor (GCF) of 58917 and 58922 is 1.

GCF(58917,58922) = 1

We will now calculate the prime factors of 58917 and 58922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58917 and 58922.

How to find the GCF of 58917 and 58922?

We will first find the prime factorization of 58917 and 58922. After we will calculate the factors of 58917 and 58922 and find the biggest common factor number .

Step-1: Prime Factorization of 58917

Prime factors of 58917 are 3, 41, 479. Prime factorization of 58917 in exponential form is:

58917 = 3¹ × 41¹ × 479¹

Step-2: 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-3: Factors of 58917

List of positive integer factors of 58917 that divides 58917 without a remainder.

1, 3, 41, 123, 479, 1437, 19639

Step-4: Factors of 58922

List of positive integer factors of 58922 that divides 58917 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58917 and 58922. The biggest common factor number is the GCF number.
So the greatest common factor 58917 and 58922 is 1.

Also check out the Least Common Multiple of 58917 and 58922