What is the Greatest Common Factor of 73264 and 73281?

Greatest common factor (GCF) of 73264 and 73281 is 1.

GCF(73264,73281) = 1

We will now calculate the prime factors of 73264 and 73281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73264 and 73281.

How to find the GCF of 73264 and 73281?

We will first find the prime factorization of 73264 and 73281. After we will calculate the factors of 73264 and 73281 and find the biggest common factor number .

Step-1: Prime Factorization of 73264

Prime factors of 73264 are 2, 19, 241. Prime factorization of 73264 in exponential form is:

73264 = 2⁴ × 19¹ × 241¹

Step-2: Prime Factorization of 73281

Prime factors of 73281 are 3, 13, 1879. Prime factorization of 73281 in exponential form is:

73281 = 3¹ × 13¹ × 1879¹

Step-3: Factors of 73264

List of positive integer factors of 73264 that divides 73264 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 241, 304, 482, 964, 1928, 3856, 4579, 9158, 18316, 36632

Step-4: Factors of 73281

List of positive integer factors of 73281 that divides 73264 without a remainder.

1, 3, 13, 39, 1879, 5637, 24427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73264 and 73281. The biggest common factor number is the GCF number.
So the greatest common factor 73264 and 73281 is 1.

Also check out the Least Common Multiple of 73264 and 73281