What is the Greatest Common Factor of 43050 and 43062?

Greatest common factor (GCF) of 43050 and 43062 is 6.

GCF(43050,43062) = 6

We will now calculate the prime factors of 43050 and 43062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43050 and 43062.

How to find the GCF of 43050 and 43062?

We will first find the prime factorization of 43050 and 43062. After we will calculate the factors of 43050 and 43062 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 43062

Prime factors of 43062 are 2, 3, 7177. Prime factorization of 43062 in exponential form is:

43062 = 2¹ × 3¹ × 7177¹

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 43062

List of positive integer factors of 43062 that divides 43050 without a remainder.

1, 2, 3, 6, 7177, 14354, 21531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43050 and 43062. The biggest common factor number is the GCF number.
So the greatest common factor 43050 and 43062 is 6.

Also check out the Least Common Multiple of 43050 and 43062