What is the Greatest Common Factor of 73289 and 73305?

Greatest common factor (GCF) of 73289 and 73305 is 1.

GCF(73289,73305) = 1

We will now calculate the prime factors of 73289 and 73305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73289 and 73305.

How to find the GCF of 73289 and 73305?

We will first find the prime factorization of 73289 and 73305. After we will calculate the factors of 73289 and 73305 and find the biggest common factor number .

Step-1: Prime Factorization of 73289

Prime factors of 73289 are 83, 883. Prime factorization of 73289 in exponential form is:

73289 = 83¹ × 883¹

Step-2: Prime Factorization of 73305

Prime factors of 73305 are 3, 5, 181. Prime factorization of 73305 in exponential form is:

73305 = 3⁴ × 5¹ × 181¹

Step-3: Factors of 73289

List of positive integer factors of 73289 that divides 73289 without a remainder.

1, 83, 883

Step-4: Factors of 73305

List of positive integer factors of 73305 that divides 73289 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 181, 405, 543, 905, 1629, 2715, 4887, 8145, 14661, 24435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73289 and 73305. The biggest common factor number is the GCF number.
So the greatest common factor 73289 and 73305 is 1.

Also check out the Least Common Multiple of 73289 and 73305