What is the Greatest Common Factor of 60306 and 60314?

Greatest common factor (GCF) of 60306 and 60314 is 2.

GCF(60306,60314) = 2

We will now calculate the prime factors of 60306 and 60314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60306 and 60314.

How to find the GCF of 60306 and 60314?

We will first find the prime factorization of 60306 and 60314. After we will calculate the factors of 60306 and 60314 and find the biggest common factor number .

Step-1: Prime Factorization of 60306

Prime factors of 60306 are 2, 3, 19, 23. Prime factorization of 60306 in exponential form is:

60306 = 2¹ × 3¹ × 19¹ × 23²

Step-2: Prime Factorization of 60314

Prime factors of 60314 are 2, 53, 569. Prime factorization of 60314 in exponential form is:

60314 = 2¹ × 53¹ × 569¹

Step-3: Factors of 60306

List of positive integer factors of 60306 that divides 60306 without a remainder.

1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 529, 874, 1058, 1311, 1587, 2622, 3174, 10051, 20102, 30153

Step-4: Factors of 60314

List of positive integer factors of 60314 that divides 60306 without a remainder.

1, 2, 53, 106, 569, 1138, 30157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60306 and 60314. The biggest common factor number is the GCF number.
So the greatest common factor 60306 and 60314 is 2.

Also check out the Least Common Multiple of 60306 and 60314