What is the Greatest Common Factor of 58004 and 58019?

Greatest common factor (GCF) of 58004 and 58019 is 1.

GCF(58004,58019) = 1

We will now calculate the prime factors of 58004 and 58019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58004 and 58019.

How to find the GCF of 58004 and 58019?

We will first find the prime factorization of 58004 and 58019. After we will calculate the factors of 58004 and 58019 and find the biggest common factor number .

Step-1: Prime Factorization of 58004

Prime factors of 58004 are 2, 17, 853. Prime factorization of 58004 in exponential form is:

58004 = 2² × 17¹ × 853¹

Step-2: Prime Factorization of 58019

Prime factors of 58019 are 13, 4463. Prime factorization of 58019 in exponential form is:

58019 = 13¹ × 4463¹

Step-3: Factors of 58004

List of positive integer factors of 58004 that divides 58004 without a remainder.

1, 2, 4, 17, 34, 68, 853, 1706, 3412, 14501, 29002

Step-4: Factors of 58019

List of positive integer factors of 58019 that divides 58004 without a remainder.

1, 13, 4463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58004 and 58019. The biggest common factor number is the GCF number.
So the greatest common factor 58004 and 58019 is 1.

Also check out the Least Common Multiple of 58004 and 58019