What is the Greatest Common Factor of 73251 and 73260?

Greatest common factor (GCF) of 73251 and 73260 is 9.

GCF(73251,73260) = 9

We will now calculate the prime factors of 73251 and 73260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73251 and 73260.

How to find the GCF of 73251 and 73260?

We will first find the prime factorization of 73251 and 73260. After we will calculate the factors of 73251 and 73260 and find the biggest common factor number .

Step-1: Prime Factorization of 73251

Prime factors of 73251 are 3, 2713. Prime factorization of 73251 in exponential form is:

73251 = 3³ × 2713¹

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 73251

List of positive integer factors of 73251 that divides 73251 without a remainder.

1, 3, 9, 27, 2713, 8139, 24417

Step-4: Factors of 73260

List of positive integer factors of 73260 that divides 73251 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 73251 and 73260. The biggest common factor number is the GCF number.
So the greatest common factor 73251 and 73260 is 9.

Also check out the Least Common Multiple of 73251 and 73260