What is the Greatest Common Factor of 43842 and 43850?

Greatest common factor (GCF) of 43842 and 43850 is 2.

GCF(43842,43850) = 2

We will now calculate the prime factors of 43842 and 43850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43842 and 43850.

How to find the GCF of 43842 and 43850?

We will first find the prime factorization of 43842 and 43850. After we will calculate the factors of 43842 and 43850 and find the biggest common factor number .

Step-1: Prime Factorization of 43842

Prime factors of 43842 are 2, 3, 7307. Prime factorization of 43842 in exponential form is:

43842 = 2¹ × 3¹ × 7307¹

Step-2: Prime Factorization of 43850

Prime factors of 43850 are 2, 5, 877. Prime factorization of 43850 in exponential form is:

43850 = 2¹ × 5² × 877¹

Step-3: Factors of 43842

List of positive integer factors of 43842 that divides 43842 without a remainder.

1, 2, 3, 6, 7307, 14614, 21921

Step-4: Factors of 43850

List of positive integer factors of 43850 that divides 43842 without a remainder.

1, 2, 5, 10, 25, 50, 877, 1754, 4385, 8770, 21925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43842 and 43850. The biggest common factor number is the GCF number.
So the greatest common factor 43842 and 43850 is 2.

Also check out the Least Common Multiple of 43842 and 43850