What is the Greatest Common Factor of 58572 and 58584?

Greatest common factor (GCF) of 58572 and 58584 is 12.

GCF(58572,58584) = 12

We will now calculate the prime factors of 58572 and 58584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58572 and 58584.

How to find the GCF of 58572 and 58584?

We will first find the prime factorization of 58572 and 58584. After we will calculate the factors of 58572 and 58584 and find the biggest common factor number .

Step-1: Prime Factorization of 58572

Prime factors of 58572 are 2, 3, 1627. Prime factorization of 58572 in exponential form is:

58572 = 2² × 3² × 1627¹

Step-2: 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-3: Factors of 58572

List of positive integer factors of 58572 that divides 58572 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1627, 3254, 4881, 6508, 9762, 14643, 19524, 29286

Step-4: Factors of 58584

List of positive integer factors of 58584 that divides 58572 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58572 and 58584. The biggest common factor number is the GCF number.
So the greatest common factor 58572 and 58584 is 12.

Also check out the Least Common Multiple of 58572 and 58584