What is the Greatest Common Factor of 43050 and 43064?

Greatest common factor (GCF) of 43050 and 43064 is 14.

GCF(43050,43064) = 14

We will now calculate the prime factors of 43050 and 43064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43050 and 43064.

How to find the GCF of 43050 and 43064?

We will first find the prime factorization of 43050 and 43064. After we will calculate the factors of 43050 and 43064 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 43064

Prime factors of 43064 are 2, 7, 769. Prime factorization of 43064 in exponential form is:

43064 = 2³ × 7¹ × 769¹

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 43064

List of positive integer factors of 43064 that divides 43050 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 769, 1538, 3076, 5383, 6152, 10766, 21532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43050 and 43064. The biggest common factor number is the GCF number.
So the greatest common factor 43050 and 43064 is 14.

Also check out the Least Common Multiple of 43050 and 43064