What is the Greatest Common Factor of 73260 and 73268?

Greatest common factor (GCF) of 73260 and 73268 is 4.

GCF(73260,73268) = 4

We will now calculate the prime factors of 73260 and 73268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73260 and 73268.

How to find the GCF of 73260 and 73268?

We will first find the prime factorization of 73260 and 73268. After we will calculate the factors of 73260 and 73268 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 73268

Prime factors of 73268 are 2, 13, 1409. Prime factorization of 73268 in exponential form is:

73268 = 2² × 13¹ × 1409¹

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 73268

List of positive integer factors of 73268 that divides 73260 without a remainder.

1, 2, 4, 13, 26, 52, 1409, 2818, 5636, 18317, 36634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73260 and 73268. The biggest common factor number is the GCF number.
So the greatest common factor 73260 and 73268 is 4.

Also check out the Least Common Multiple of 73260 and 73268