What is the Greatest Common Factor of 58900 and 58919?

Greatest common factor (GCF) of 58900 and 58919 is 19.

GCF(58900,58919) = 19

We will now calculate the prime factors of 58900 and 58919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58900 and 58919.

How to find the GCF of 58900 and 58919?

We will first find the prime factorization of 58900 and 58919. After we will calculate the factors of 58900 and 58919 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 58919

Prime factors of 58919 are 7, 19, 443. Prime factorization of 58919 in exponential form is:

58919 = 7¹ × 19¹ × 443¹

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 58919

List of positive integer factors of 58919 that divides 58900 without a remainder.

1, 7, 19, 133, 443, 3101, 8417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58900 and 58919. The biggest common factor number is the GCF number.
So the greatest common factor 58900 and 58919 is 19.

Also check out the Least Common Multiple of 58900 and 58919