What is the Greatest Common Factor of 43850 and 43855?

Greatest common factor (GCF) of 43850 and 43855 is 5.

GCF(43850,43855) = 5

We will now calculate the prime factors of 43850 and 43855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43850 and 43855.

How to find the GCF of 43850 and 43855?

We will first find the prime factorization of 43850 and 43855. After we will calculate the factors of 43850 and 43855 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 43855

Prime factors of 43855 are 5, 7, 179. Prime factorization of 43855 in exponential form is:

43855 = 5¹ × 7² × 179¹

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 43855

List of positive integer factors of 43855 that divides 43850 without a remainder.

1, 5, 7, 35, 49, 179, 245, 895, 1253, 6265, 8771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43850 and 43855. The biggest common factor number is the GCF number.
So the greatest common factor 43850 and 43855 is 5.

Also check out the Least Common Multiple of 43850 and 43855