What is the Greatest Common Factor of 43065 and 43071?

Greatest common factor (GCF) of 43065 and 43071 is 3.

GCF(43065,43071) = 3

We will now calculate the prime factors of 43065 and 43071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43065 and 43071.

How to find the GCF of 43065 and 43071?

We will first find the prime factorization of 43065 and 43071. After we will calculate the factors of 43065 and 43071 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 43071

Prime factors of 43071 are 3, 7, 293. Prime factorization of 43071 in exponential form is:

43071 = 3¹ × 7² × 293¹

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 43071

List of positive integer factors of 43071 that divides 43065 without a remainder.

1, 3, 7, 21, 49, 147, 293, 879, 2051, 6153, 14357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43065 and 43071. The biggest common factor number is the GCF number.
So the greatest common factor 43065 and 43071 is 3.

Also check out the Least Common Multiple of 43065 and 43071