What is the Greatest Common Factor of 43850 and 43870?

Greatest common factor (GCF) of 43850 and 43870 is 10.

GCF(43850,43870) = 10

We will now calculate the prime factors of 43850 and 43870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43850 and 43870.

How to find the GCF of 43850 and 43870?

We will first find the prime factorization of 43850 and 43870. After we will calculate the factors of 43850 and 43870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43870

Prime factors of 43870 are 2, 5, 41, 107. Prime factorization of 43870 in exponential form is:

43870 = 2¹ × 5¹ × 41¹ × 107¹

Step-3: Factors of 43850

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

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

Step-4: Factors of 43870

List of positive integer factors of 43870 that divides 43850 without a remainder.

1, 2, 5, 10, 41, 82, 107, 205, 214, 410, 535, 1070, 4387, 8774, 21935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43850 and 43870. The biggest common factor number is the GCF number.
So the greatest common factor 43850 and 43870 is 10.

Also check out the Least Common Multiple of 43850 and 43870