What is the Greatest Common Factor of 73305 and 73318?

Greatest common factor (GCF) of 73305 and 73318 is 1.

GCF(73305,73318) = 1

We will now calculate the prime factors of 73305 and 73318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73305 and 73318.

How to find the GCF of 73305 and 73318?

We will first find the prime factorization of 73305 and 73318. After we will calculate the factors of 73305 and 73318 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 73318

Prime factors of 73318 are 2, 7, 5237. Prime factorization of 73318 in exponential form is:

73318 = 2¹ × 7¹ × 5237¹

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 73318

List of positive integer factors of 73318 that divides 73305 without a remainder.

1, 2, 7, 14, 5237, 10474, 36659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73305 and 73318. The biggest common factor number is the GCF number.
So the greatest common factor 73305 and 73318 is 1.

Also check out the Least Common Multiple of 73305 and 73318