What is the Greatest Common Factor of 58004 and 58021?

Greatest common factor (GCF) of 58004 and 58021 is 17.

GCF(58004,58021) = 17

We will now calculate the prime factors of 58004 and 58021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58004 and 58021.

How to find the GCF of 58004 and 58021?

We will first find the prime factorization of 58004 and 58021. After we will calculate the factors of 58004 and 58021 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 58021

Prime factors of 58021 are 17, 3413. Prime factorization of 58021 in exponential form is:

58021 = 17¹ × 3413¹

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 58021

List of positive integer factors of 58021 that divides 58004 without a remainder.

1, 17, 3413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58004 and 58021. The biggest common factor number is the GCF number.
So the greatest common factor 58004 and 58021 is 17.

Also check out the Least Common Multiple of 58004 and 58021