What is the Greatest Common Factor of 58209 and 58224?

Greatest common factor (GCF) of 58209 and 58224 is 3.

GCF(58209,58224) = 3

We will now calculate the prime factors of 58209 and 58224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58209 and 58224.

How to find the GCF of 58209 and 58224?

We will first find the prime factorization of 58209 and 58224. After we will calculate the factors of 58209 and 58224 and find the biggest common factor number .

Step-1: Prime Factorization of 58209

Prime factors of 58209 are 3, 19403. Prime factorization of 58209 in exponential form is:

58209 = 3¹ × 19403¹

Step-2: Prime Factorization of 58224

Prime factors of 58224 are 2, 3, 1213. Prime factorization of 58224 in exponential form is:

58224 = 2⁴ × 3¹ × 1213¹

Step-3: Factors of 58209

List of positive integer factors of 58209 that divides 58209 without a remainder.

1, 3, 19403

Step-4: Factors of 58224

List of positive integer factors of 58224 that divides 58209 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1213, 2426, 3639, 4852, 7278, 9704, 14556, 19408, 29112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58209 and 58224. The biggest common factor number is the GCF number.
So the greatest common factor 58209 and 58224 is 3.

Also check out the Least Common Multiple of 58209 and 58224