What is the Greatest Common Factor of 58904 and 58919?

Greatest common factor (GCF) of 58904 and 58919 is 1.

GCF(58904,58919) = 1

We will now calculate the prime factors of 58904 and 58919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58904 and 58919.

How to find the GCF of 58904 and 58919?

We will first find the prime factorization of 58904 and 58919. After we will calculate the factors of 58904 and 58919 and find the biggest common factor number .

Step-1: Prime Factorization of 58904

Prime factors of 58904 are 2, 37, 199. Prime factorization of 58904 in exponential form is:

58904 = 2³ × 37¹ × 199¹

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 58904

List of positive integer factors of 58904 that divides 58904 without a remainder.

1, 2, 4, 8, 37, 74, 148, 199, 296, 398, 796, 1592, 7363, 14726, 29452

Step-4: Factors of 58919

List of positive integer factors of 58919 that divides 58904 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58904 and 58919. The biggest common factor number is the GCF number.
So the greatest common factor 58904 and 58919 is 1.

Also check out the Least Common Multiple of 58904 and 58919