What is the Greatest Common Factor of 58296 and 58306?

Greatest common factor (GCF) of 58296 and 58306 is 2.

GCF(58296,58306) = 2

We will now calculate the prime factors of 58296 and 58306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58296 and 58306.

How to find the GCF of 58296 and 58306?

We will first find the prime factorization of 58296 and 58306. After we will calculate the factors of 58296 and 58306 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58306

Prime factors of 58306 are 2, 29153. Prime factorization of 58306 in exponential form is:

58306 = 2¹ × 29153¹

Step-3: Factors of 58296

List of positive integer factors of 58296 that divides 58296 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

Step-4: Factors of 58306

List of positive integer factors of 58306 that divides 58296 without a remainder.

1, 2, 29153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58296 and 58306. The biggest common factor number is the GCF number.
So the greatest common factor 58296 and 58306 is 2.

Also check out the Least Common Multiple of 58296 and 58306