What is the Greatest Common Factor of 58284 and 58296?

Greatest common factor (GCF) of 58284 and 58296 is 12.

GCF(58284,58296) = 12

We will now calculate the prime factors of 58284 and 58296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58284 and 58296.

How to find the GCF of 58284 and 58296?

We will first find the prime factorization of 58284 and 58296. After we will calculate the factors of 58284 and 58296 and find the biggest common factor number .

Step-1: Prime Factorization of 58284

Prime factors of 58284 are 2, 3, 1619. Prime factorization of 58284 in exponential form is:

58284 = 2² × 3² × 1619¹

Step-2: Prime Factorization of 58296

Prime factors of 58296 are 2, 3, 7, 347. Prime factorization of 58296 in exponential form is:

58296 = 2³ × 3¹ × 7¹ × 347¹

Step-3: Factors of 58284

List of positive integer factors of 58284 that divides 58284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1619, 3238, 4857, 6476, 9714, 14571, 19428, 29142

Step-4: Factors of 58296

List of positive integer factors of 58296 that divides 58284 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 347, 694, 1041, 1388, 2082, 2429, 2776, 4164, 4858, 7287, 8328, 9716, 14574, 19432, 29148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58284 and 58296. The biggest common factor number is the GCF number.
So the greatest common factor 58284 and 58296 is 12.

Also check out the Least Common Multiple of 58284 and 58296