What is the Greatest Common Factor of 72480 and 72498?

Greatest common factor (GCF) of 72480 and 72498 is 6.

GCF(72480,72498) = 6

We will now calculate the prime factors of 72480 and 72498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72480 and 72498.

How to find the GCF of 72480 and 72498?

We will first find the prime factorization of 72480 and 72498. After we will calculate the factors of 72480 and 72498 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 72498

Prime factors of 72498 are 2, 3, 43, 281. Prime factorization of 72498 in exponential form is:

72498 = 2¹ × 3¹ × 43¹ × 281¹

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 72498

List of positive integer factors of 72498 that divides 72480 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 281, 562, 843, 1686, 12083, 24166, 36249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72480 and 72498. The biggest common factor number is the GCF number.
So the greatest common factor 72480 and 72498 is 6.

Also check out the Least Common Multiple of 72480 and 72498