What is the Greatest Common Factor of 72480 and 72499?

Greatest common factor (GCF) of 72480 and 72499 is 1.

GCF(72480,72499) = 1

We will now calculate the prime factors of 72480 and 72499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72480 and 72499.

How to find the GCF of 72480 and 72499?

We will first find the prime factorization of 72480 and 72499. After we will calculate the factors of 72480 and 72499 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 72499

Prime factors of 72499 are 7, 10357. Prime factorization of 72499 in exponential form is:

72499 = 7¹ × 10357¹

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 72499

List of positive integer factors of 72499 that divides 72480 without a remainder.

1, 7, 10357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72480 and 72499. The biggest common factor number is the GCF number.
So the greatest common factor 72480 and 72499 is 1.

Also check out the Least Common Multiple of 72480 and 72499