What is the Greatest Common Factor of 58584 and 58601?

Greatest common factor (GCF) of 58584 and 58601 is 1.

GCF(58584,58601) = 1

We will now calculate the prime factors of 58584 and 58601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58584 and 58601.

How to find the GCF of 58584 and 58601?

We will first find the prime factorization of 58584 and 58601. After we will calculate the factors of 58584 and 58601 and find the biggest common factor number .

Step-1: Prime Factorization of 58584

Prime factors of 58584 are 2, 3, 2441. Prime factorization of 58584 in exponential form is:

58584 = 2³ × 3¹ × 2441¹

Step-2: Prime Factorization of 58601

Prime factors of 58601 are 58601. Prime factorization of 58601 in exponential form is:

58601 = 58601¹

Step-3: Factors of 58584

List of positive integer factors of 58584 that divides 58584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2441, 4882, 7323, 9764, 14646, 19528, 29292

Step-4: Factors of 58601

List of positive integer factors of 58601 that divides 58584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58584 and 58601. The biggest common factor number is the GCF number.
So the greatest common factor 58584 and 58601 is 1.

Also check out the Least Common Multiple of 58584 and 58601