What is the Greatest Common Factor of 72480 and 72496?

Greatest common factor (GCF) of 72480 and 72496 is 16.

GCF(72480,72496) = 16

We will now calculate the prime factors of 72480 and 72496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72480 and 72496.

How to find the GCF of 72480 and 72496?

We will first find the prime factorization of 72480 and 72496. After we will calculate the factors of 72480 and 72496 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 72496

Prime factors of 72496 are 2, 23, 197. Prime factorization of 72496 in exponential form is:

72496 = 2⁴ × 23¹ × 197¹

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 72496

List of positive integer factors of 72496 that divides 72480 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 197, 368, 394, 788, 1576, 3152, 4531, 9062, 18124, 36248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72480 and 72496. The biggest common factor number is the GCF number.
So the greatest common factor 72480 and 72496 is 16.

Also check out the Least Common Multiple of 72480 and 72496