What is the Greatest Common Factor of 60300 and 60306?

Greatest common factor (GCF) of 60300 and 60306 is 6.

GCF(60300,60306) = 6

We will now calculate the prime factors of 60300 and 60306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60300 and 60306.

How to find the GCF of 60300 and 60306?

We will first find the prime factorization of 60300 and 60306. After we will calculate the factors of 60300 and 60306 and find the biggest common factor number .

Step-1: Prime Factorization of 60300

Prime factors of 60300 are 2, 3, 5, 67. Prime factorization of 60300 in exponential form is:

60300 = 2² × 3² × 5² × 67¹

Step-2: 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-3: Factors of 60300

List of positive integer factors of 60300 that divides 60300 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 67, 75, 90, 100, 134, 150, 180, 201, 225, 268, 300, 335, 402, 450, 603, 670, 804, 900, 1005, 1206, 1340, 1675, 2010, 2412, 3015, 3350, 4020, 5025, 6030, 6700, 10050, 12060, 15075, 20100, 30150

Step-4: Factors of 60306

List of positive integer factors of 60306 that divides 60300 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60300 and 60306. The biggest common factor number is the GCF number.
So the greatest common factor 60300 and 60306 is 6.

Also check out the Least Common Multiple of 60300 and 60306