What is the Greatest Common Factor of 73264 and 73271?

Greatest common factor (GCF) of 73264 and 73271 is 1.

GCF(73264,73271) = 1

We will now calculate the prime factors of 73264 and 73271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73264 and 73271.

How to find the GCF of 73264 and 73271?

We will first find the prime factorization of 73264 and 73271. After we will calculate the factors of 73264 and 73271 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 73271

Prime factors of 73271 are 11, 6661. Prime factorization of 73271 in exponential form is:

73271 = 11¹ × 6661¹

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 73271

List of positive integer factors of 73271 that divides 73264 without a remainder.

1, 11, 6661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73264 and 73271. The biggest common factor number is the GCF number.
So the greatest common factor 73264 and 73271 is 1.

Also check out the Least Common Multiple of 73264 and 73271