What is the Greatest Common Factor of 60306 and 60311?

Greatest common factor (GCF) of 60306 and 60311 is 1.

GCF(60306,60311) = 1

We will now calculate the prime factors of 60306 and 60311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60306 and 60311.

How to find the GCF of 60306 and 60311?

We will first find the prime factorization of 60306 and 60311. After we will calculate the factors of 60306 and 60311 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 60311

Prime factors of 60311 are 41, 1471. Prime factorization of 60311 in exponential form is:

60311 = 41¹ × 1471¹

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 60311

List of positive integer factors of 60311 that divides 60306 without a remainder.

1, 41, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60306 and 60311. The biggest common factor number is the GCF number.
So the greatest common factor 60306 and 60311 is 1.

Also check out the Least Common Multiple of 60306 and 60311