What is the Greatest Common Factor of 73260 and 73275?

Greatest common factor (GCF) of 73260 and 73275 is 15.

GCF(73260,73275) = 15

We will now calculate the prime factors of 73260 and 73275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73260 and 73275.

How to find the GCF of 73260 and 73275?

We will first find the prime factorization of 73260 and 73275. After we will calculate the factors of 73260 and 73275 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73275

Prime factors of 73275 are 3, 5, 977. Prime factorization of 73275 in exponential form is:

73275 = 3¹ × 5² × 977¹

Step-3: Factors of 73260

List of positive integer factors of 73260 that divides 73260 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

Step-4: Factors of 73275

List of positive integer factors of 73275 that divides 73260 without a remainder.

1, 3, 5, 15, 25, 75, 977, 2931, 4885, 14655, 24425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73260 and 73275. The biggest common factor number is the GCF number.
So the greatest common factor 73260 and 73275 is 15.

Also check out the Least Common Multiple of 73260 and 73275