What is the Greatest Common Factor of 72480 and 72489?

Greatest common factor (GCF) of 72480 and 72489 is 3.

GCF(72480,72489) = 3

We will now calculate the prime factors of 72480 and 72489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72480 and 72489.

How to find the GCF of 72480 and 72489?

We will first find the prime factorization of 72480 and 72489. After we will calculate the factors of 72480 and 72489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72489

Prime factors of 72489 are 3, 73, 331. Prime factorization of 72489 in exponential form is:

72489 = 3¹ × 73¹ × 331¹

Step-3: Factors of 72480

List of positive integer factors of 72480 that divides 72480 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

Step-4: Factors of 72489

List of positive integer factors of 72489 that divides 72480 without a remainder.

1, 3, 73, 219, 331, 993, 24163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72480 and 72489. The biggest common factor number is the GCF number.
So the greatest common factor 72480 and 72489 is 3.

Also check out the Least Common Multiple of 72480 and 72489