What is the Greatest Common Factor of 73260 and 73278?

Greatest common factor (GCF) of 73260 and 73278 is 18.

GCF(73260,73278) = 18

We will now calculate the prime factors of 73260 and 73278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73260 and 73278.

How to find the GCF of 73260 and 73278?

We will first find the prime factorization of 73260 and 73278. After we will calculate the factors of 73260 and 73278 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 73278

Prime factors of 73278 are 2, 3, 23, 59. Prime factorization of 73278 in exponential form is:

73278 = 2¹ × 3³ × 23¹ × 59¹

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 73278

List of positive integer factors of 73278 that divides 73260 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 59, 69, 118, 138, 177, 207, 354, 414, 531, 621, 1062, 1242, 1357, 1593, 2714, 3186, 4071, 8142, 12213, 24426, 36639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73260 and 73278. The biggest common factor number is the GCF number.
So the greatest common factor 73260 and 73278 is 18.

Also check out the Least Common Multiple of 73260 and 73278