What is the Greatest Common Factor of 59300 and 59306?

Greatest common factor (GCF) of 59300 and 59306 is 2.

GCF(59300,59306) = 2

We will now calculate the prime factors of 59300 and 59306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59300 and 59306.

How to find the GCF of 59300 and 59306?

We will first find the prime factorization of 59300 and 59306. After we will calculate the factors of 59300 and 59306 and find the biggest common factor number .

Step-1: Prime Factorization of 59300

Prime factors of 59300 are 2, 5, 593. Prime factorization of 59300 in exponential form is:

59300 = 2² × 5² × 593¹

Step-2: Prime Factorization of 59306

Prime factors of 59306 are 2, 13, 2281. Prime factorization of 59306 in exponential form is:

59306 = 2¹ × 13¹ × 2281¹

Step-3: Factors of 59300

List of positive integer factors of 59300 that divides 59300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 593, 1186, 2372, 2965, 5930, 11860, 14825, 29650

Step-4: Factors of 59306

List of positive integer factors of 59306 that divides 59300 without a remainder.

1, 2, 13, 26, 2281, 4562, 29653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59300 and 59306. The biggest common factor number is the GCF number.
So the greatest common factor 59300 and 59306 is 2.

Also check out the Least Common Multiple of 59300 and 59306