What is the Greatest Common Factor of 72465 and 72480?

Greatest common factor (GCF) of 72465 and 72480 is 15.

GCF(72465,72480) = 15

We will now calculate the prime factors of 72465 and 72480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72465 and 72480.

How to find the GCF of 72465 and 72480?

We will first find the prime factorization of 72465 and 72480. After we will calculate the factors of 72465 and 72480 and find the biggest common factor number .

Step-1: Prime Factorization of 72465

Prime factors of 72465 are 3, 5, 4831. Prime factorization of 72465 in exponential form is:

72465 = 3¹ × 5¹ × 4831¹

Step-2: Prime Factorization of 72480

Prime factors of 72480 are 2, 3, 5, 151. Prime factorization of 72480 in exponential form is:

72480 = 2⁵ × 3¹ × 5¹ × 151¹

Step-3: Factors of 72465

List of positive integer factors of 72465 that divides 72465 without a remainder.

1, 3, 5, 15, 4831, 14493, 24155

Step-4: Factors of 72480

List of positive integer factors of 72480 that divides 72465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 151, 160, 240, 302, 453, 480, 604, 755, 906, 1208, 1510, 1812, 2265, 2416, 3020, 3624, 4530, 4832, 6040, 7248, 9060, 12080, 14496, 18120, 24160, 36240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72465 and 72480. The biggest common factor number is the GCF number.
So the greatest common factor 72465 and 72480 is 15.

Also check out the Least Common Multiple of 72465 and 72480