What is the Greatest Common Factor of 43855 and 43872?

Greatest common factor (GCF) of 43855 and 43872 is 1.

GCF(43855,43872) = 1

We will now calculate the prime factors of 43855 and 43872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43855 and 43872.

How to find the GCF of 43855 and 43872?

We will first find the prime factorization of 43855 and 43872. After we will calculate the factors of 43855 and 43872 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43872

Prime factors of 43872 are 2, 3, 457. Prime factorization of 43872 in exponential form is:

43872 = 2⁵ × 3¹ × 457¹

Step-3: Factors of 43855

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

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

Step-4: Factors of 43872

List of positive integer factors of 43872 that divides 43855 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 457, 914, 1371, 1828, 2742, 3656, 5484, 7312, 10968, 14624, 21936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43855 and 43872. The biggest common factor number is the GCF number.
So the greatest common factor 43855 and 43872 is 1.

Also check out the Least Common Multiple of 43855 and 43872