What is the Greatest Common Factor of 58900 and 58917?

Greatest common factor (GCF) of 58900 and 58917 is 1.

GCF(58900,58917) = 1

We will now calculate the prime factors of 58900 and 58917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58900 and 58917.

How to find the GCF of 58900 and 58917?

We will first find the prime factorization of 58900 and 58917. After we will calculate the factors of 58900 and 58917 and find the biggest common factor number .

Step-1: Prime Factorization of 58900

Prime factors of 58900 are 2, 5, 19, 31. Prime factorization of 58900 in exponential form is:

58900 = 2² × 5² × 19¹ × 31¹

Step-2: 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-3: Factors of 58900

List of positive integer factors of 58900 that divides 58900 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 31, 38, 50, 62, 76, 95, 100, 124, 155, 190, 310, 380, 475, 589, 620, 775, 950, 1178, 1550, 1900, 2356, 2945, 3100, 5890, 11780, 14725, 29450

Step-4: Factors of 58917

List of positive integer factors of 58917 that divides 58900 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58900 and 58917. The biggest common factor number is the GCF number.
So the greatest common factor 58900 and 58917 is 1.

Also check out the Least Common Multiple of 58900 and 58917