What is the Greatest Common Factor of 43856 and 43872?

Greatest common factor (GCF) of 43856 and 43872 is 16.

GCF(43856,43872) = 16

We will now calculate the prime factors of 43856 and 43872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43856 and 43872.

How to find the GCF of 43856 and 43872?

We will first find the prime factorization of 43856 and 43872. After we will calculate the factors of 43856 and 43872 and find the biggest common factor number .

Step-1: Prime Factorization of 43856

Prime factors of 43856 are 2, 2741. Prime factorization of 43856 in exponential form is:

43856 = 2⁴ × 2741¹

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 43856

List of positive integer factors of 43856 that divides 43856 without a remainder.

1, 2, 4, 8, 16, 2741, 5482, 10964, 21928

Step-4: Factors of 43872

List of positive integer factors of 43872 that divides 43856 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 43856 and 43872. The biggest common factor number is the GCF number.
So the greatest common factor 43856 and 43872 is 16.

Also check out the Least Common Multiple of 43856 and 43872