What is the Greatest Common Factor of 43050 and 43065?

Greatest common factor (GCF) of 43050 and 43065 is 15.

GCF(43050,43065) = 15

We will now calculate the prime factors of 43050 and 43065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43050 and 43065.

How to find the GCF of 43050 and 43065?

We will first find the prime factorization of 43050 and 43065. After we will calculate the factors of 43050 and 43065 and find the biggest common factor number .

Step-1: Prime Factorization of 43050

Prime factors of 43050 are 2, 3, 5, 7, 41. Prime factorization of 43050 in exponential form is:

43050 = 2¹ × 3¹ × 5² × 7¹ × 41¹

Step-2: 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-3: Factors of 43050

List of positive integer factors of 43050 that divides 43050 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 41, 42, 50, 70, 75, 82, 105, 123, 150, 175, 205, 210, 246, 287, 350, 410, 525, 574, 615, 861, 1025, 1050, 1230, 1435, 1722, 2050, 2870, 3075, 4305, 6150, 7175, 8610, 14350, 21525

Step-4: Factors of 43065

List of positive integer factors of 43065 that divides 43050 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43050 and 43065. The biggest common factor number is the GCF number.
So the greatest common factor 43050 and 43065 is 15.

Also check out the Least Common Multiple of 43050 and 43065