What is the Greatest Common Factor of 58584 and 58600?

Greatest common factor (GCF) of 58584 and 58600 is 8.

GCF(58584,58600) = 8

We will now calculate the prime factors of 58584 and 58600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58584 and 58600.

How to find the GCF of 58584 and 58600?

We will first find the prime factorization of 58584 and 58600. After we will calculate the factors of 58584 and 58600 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 58600

Prime factors of 58600 are 2, 5, 293. Prime factorization of 58600 in exponential form is:

58600 = 2³ × 5² × 293¹

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 58600

List of positive integer factors of 58600 that divides 58584 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 293, 586, 1172, 1465, 2344, 2930, 5860, 7325, 11720, 14650, 29300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58584 and 58600. The biggest common factor number is the GCF number.
So the greatest common factor 58584 and 58600 is 8.

Also check out the Least Common Multiple of 58584 and 58600