What is the Greatest Common Factor of 43065 and 43081?

Greatest common factor (GCF) of 43065 and 43081 is 1.

GCF(43065,43081) = 1

We will now calculate the prime factors of 43065 and 43081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43065 and 43081.

How to find the GCF of 43065 and 43081?

We will first find the prime factorization of 43065 and 43081. After we will calculate the factors of 43065 and 43081 and find the biggest common factor number .

Step-1: Prime Factorization of 43065

Prime factors of 43065 are 3, 5, 11, 29. Prime factorization of 43065 in exponential form is:

43065 = 3³ × 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 43081

Prime factors of 43081 are 67, 643. Prime factorization of 43081 in exponential form is:

43081 = 67¹ × 643¹

Step-3: Factors of 43065

List of positive integer factors of 43065 that divides 43065 without a remainder.

1, 3, 5, 9, 11, 15, 27, 29, 33, 45, 55, 87, 99, 135, 145, 165, 261, 297, 319, 435, 495, 783, 957, 1305, 1485, 1595, 2871, 3915, 4785, 8613, 14355

Step-4: Factors of 43081

List of positive integer factors of 43081 that divides 43065 without a remainder.

1, 67, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43065 and 43081. The biggest common factor number is the GCF number.
So the greatest common factor 43065 and 43081 is 1.

Also check out the Least Common Multiple of 43065 and 43081