What is the Greatest Common Factor of 73245 and 73260?

Greatest common factor (GCF) of 73245 and 73260 is 15.

GCF(73245,73260) = 15

We will now calculate the prime factors of 73245 and 73260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73245 and 73260.

How to find the GCF of 73245 and 73260?

We will first find the prime factorization of 73245 and 73260. After we will calculate the factors of 73245 and 73260 and find the biggest common factor number .

Step-1: Prime Factorization of 73245

Prime factors of 73245 are 3, 5, 19, 257. Prime factorization of 73245 in exponential form is:

73245 = 3¹ × 5¹ × 19¹ × 257¹

Step-2: Prime Factorization of 73260

Prime factors of 73260 are 2, 3, 5, 11, 37. Prime factorization of 73260 in exponential form is:

73260 = 2² × 3² × 5¹ × 11¹ × 37¹

Step-3: Factors of 73245

List of positive integer factors of 73245 that divides 73245 without a remainder.

1, 3, 5, 15, 19, 57, 95, 257, 285, 771, 1285, 3855, 4883, 14649, 24415

Step-4: Factors of 73260

List of positive integer factors of 73260 that divides 73245 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 37, 44, 45, 55, 60, 66, 74, 90, 99, 110, 111, 132, 148, 165, 180, 185, 198, 220, 222, 330, 333, 370, 396, 407, 444, 495, 555, 660, 666, 740, 814, 990, 1110, 1221, 1332, 1628, 1665, 1980, 2035, 2220, 2442, 3330, 3663, 4070, 4884, 6105, 6660, 7326, 8140, 12210, 14652, 18315, 24420, 36630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73245 and 73260. The biggest common factor number is the GCF number.
So the greatest common factor 73245 and 73260 is 15.

Also check out the Least Common Multiple of 73245 and 73260