What is the Greatest Common Factor of 72480 and 72497?

Greatest common factor (GCF) of 72480 and 72497 is 1.

GCF(72480,72497) = 1

We will now calculate the prime factors of 72480 and 72497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72480 and 72497.

How to find the GCF of 72480 and 72497?

We will first find the prime factorization of 72480 and 72497. After we will calculate the factors of 72480 and 72497 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 72497

Prime factors of 72497 are 72497. Prime factorization of 72497 in exponential form is:

72497 = 72497¹

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 72497

List of positive integer factors of 72497 that divides 72480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72480 and 72497. The biggest common factor number is the GCF number.
So the greatest common factor 72480 and 72497 is 1.

Also check out the Least Common Multiple of 72480 and 72497