What is the Greatest Common Factor of 43050 and 43066?

Greatest common factor (GCF) of 43050 and 43066 is 2.

GCF(43050,43066) = 2

We will now calculate the prime factors of 43050 and 43066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43050 and 43066.

How to find the GCF of 43050 and 43066?

We will first find the prime factorization of 43050 and 43066. After we will calculate the factors of 43050 and 43066 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 43066

Prime factors of 43066 are 2, 61, 353. Prime factorization of 43066 in exponential form is:

43066 = 2¹ × 61¹ × 353¹

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 43066

List of positive integer factors of 43066 that divides 43050 without a remainder.

1, 2, 61, 122, 353, 706, 21533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43050 and 43066. The biggest common factor number is the GCF number.
So the greatest common factor 43050 and 43066 is 2.

Also check out the Least Common Multiple of 43050 and 43066