What is the Greatest Common Factor of 43065 and 43070?

Greatest common factor (GCF) of 43065 and 43070 is 5.

GCF(43065,43070) = 5

We will now calculate the prime factors of 43065 and 43070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43065 and 43070.

How to find the GCF of 43065 and 43070?

We will first find the prime factorization of 43065 and 43070. After we will calculate the factors of 43065 and 43070 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 43070

Prime factors of 43070 are 2, 5, 59, 73. Prime factorization of 43070 in exponential form is:

43070 = 2¹ × 5¹ × 59¹ × 73¹

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 43070

List of positive integer factors of 43070 that divides 43065 without a remainder.

1, 2, 5, 10, 59, 73, 118, 146, 295, 365, 590, 730, 4307, 8614, 21535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43065 and 43070. The biggest common factor number is the GCF number.
So the greatest common factor 43065 and 43070 is 5.

Also check out the Least Common Multiple of 43065 and 43070