What is the Greatest Common Factor of 72468 and 72480?

Greatest common factor (GCF) of 72468 and 72480 is 12.

GCF(72468,72480) = 12

We will now calculate the prime factors of 72468 and 72480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72468 and 72480.

How to find the GCF of 72468 and 72480?

We will first find the prime factorization of 72468 and 72480. After we will calculate the factors of 72468 and 72480 and find the biggest common factor number .

Step-1: Prime Factorization of 72468

Prime factors of 72468 are 2, 3, 11, 61. Prime factorization of 72468 in exponential form is:

72468 = 2² × 3³ × 11¹ × 61¹

Step-2: 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-3: Factors of 72468

List of positive integer factors of 72468 that divides 72468 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 61, 66, 99, 108, 122, 132, 183, 198, 244, 297, 366, 396, 549, 594, 671, 732, 1098, 1188, 1342, 1647, 2013, 2196, 2684, 3294, 4026, 6039, 6588, 8052, 12078, 18117, 24156, 36234

Step-4: Factors of 72480

List of positive integer factors of 72480 that divides 72468 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72468 and 72480. The biggest common factor number is the GCF number.
So the greatest common factor 72468 and 72480 is 12.

Also check out the Least Common Multiple of 72468 and 72480