What is the Greatest Common Factor of 60306 and 60324?

Greatest common factor (GCF) of 60306 and 60324 is 6.

GCF(60306,60324) = 6

We will now calculate the prime factors of 60306 and 60324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60306 and 60324.

How to find the GCF of 60306 and 60324?

We will first find the prime factorization of 60306 and 60324. After we will calculate the factors of 60306 and 60324 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 60324

Prime factors of 60324 are 2, 3, 11, 457. Prime factorization of 60324 in exponential form is:

60324 = 2² × 3¹ × 11¹ × 457¹

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 60324

List of positive integer factors of 60324 that divides 60306 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 457, 914, 1371, 1828, 2742, 5027, 5484, 10054, 15081, 20108, 30162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60306 and 60324. The biggest common factor number is the GCF number.
So the greatest common factor 60306 and 60324 is 6.

Also check out the Least Common Multiple of 60306 and 60324