What is the Greatest Common Factor of 73305 and 73313?

Greatest common factor (GCF) of 73305 and 73313 is 1.

GCF(73305,73313) = 1

We will now calculate the prime factors of 73305 and 73313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73305 and 73313.

How to find the GCF of 73305 and 73313?

We will first find the prime factorization of 73305 and 73313. After we will calculate the factors of 73305 and 73313 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73313

Prime factors of 73313 are 167, 439. Prime factorization of 73313 in exponential form is:

73313 = 167¹ × 439¹

Step-3: Factors of 73305

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

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

Step-4: Factors of 73313

List of positive integer factors of 73313 that divides 73305 without a remainder.

1, 167, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73305 and 73313. The biggest common factor number is the GCF number.
So the greatest common factor 73305 and 73313 is 1.

Also check out the Least Common Multiple of 73305 and 73313