What is the Greatest Common Factor of 60300 and 60315?

Greatest common factor (GCF) of 60300 and 60315 is 15.

GCF(60300,60315) = 15

We will now calculate the prime factors of 60300 and 60315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60300 and 60315.

How to find the GCF of 60300 and 60315?

We will first find the prime factorization of 60300 and 60315. After we will calculate the factors of 60300 and 60315 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 60315

Prime factors of 60315 are 3, 5, 4021. Prime factorization of 60315 in exponential form is:

60315 = 3¹ × 5¹ × 4021¹

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 60315

List of positive integer factors of 60315 that divides 60300 without a remainder.

1, 3, 5, 15, 4021, 12063, 20105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60300 and 60315. The biggest common factor number is the GCF number.
So the greatest common factor 60300 and 60315 is 15.

Also check out the Least Common Multiple of 60300 and 60315