What is the Greatest Common Factor of 43050 and 43054?

Greatest common factor (GCF) of 43050 and 43054 is 2.

GCF(43050,43054) = 2

We will now calculate the prime factors of 43050 and 43054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43050 and 43054.

How to find the GCF of 43050 and 43054?

We will first find the prime factorization of 43050 and 43054. After we will calculate the factors of 43050 and 43054 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 43054

Prime factors of 43054 are 2, 11, 19, 103. Prime factorization of 43054 in exponential form is:

43054 = 2¹ × 11¹ × 19¹ × 103¹

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 43054

List of positive integer factors of 43054 that divides 43050 without a remainder.

1, 2, 11, 19, 22, 38, 103, 206, 209, 418, 1133, 1957, 2266, 3914, 21527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43050 and 43054. The biggest common factor number is the GCF number.
So the greatest common factor 43050 and 43054 is 2.

Also check out the Least Common Multiple of 43050 and 43054