What is the Greatest Common Factor of 72300 and 72315?

Greatest common factor (GCF) of 72300 and 72315 is 15.

GCF(72300,72315) = 15

We will now calculate the prime factors of 72300 and 72315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72300 and 72315.

How to find the GCF of 72300 and 72315?

We will first find the prime factorization of 72300 and 72315. After we will calculate the factors of 72300 and 72315 and find the biggest common factor number .

Step-1: Prime Factorization of 72300

Prime factors of 72300 are 2, 3, 5, 241. Prime factorization of 72300 in exponential form is:

72300 = 2² × 3¹ × 5² × 241¹

Step-2: Prime Factorization of 72315

Prime factors of 72315 are 3, 5, 1607. Prime factorization of 72315 in exponential form is:

72315 = 3² × 5¹ × 1607¹

Step-3: Factors of 72300

List of positive integer factors of 72300 that divides 72300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 241, 300, 482, 723, 964, 1205, 1446, 2410, 2892, 3615, 4820, 6025, 7230, 12050, 14460, 18075, 24100, 36150

Step-4: Factors of 72315

List of positive integer factors of 72315 that divides 72300 without a remainder.

1, 3, 5, 9, 15, 45, 1607, 4821, 8035, 14463, 24105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72300 and 72315. The biggest common factor number is the GCF number.
So the greatest common factor 72300 and 72315 is 15.

Also check out the Least Common Multiple of 72300 and 72315