What is the Greatest Common Factor of 41856 and 41871?

Greatest common factor (GCF) of 41856 and 41871 is 3.

GCF(41856,41871) = 3

We will now calculate the prime factors of 41856 and 41871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41856 and 41871.

How to find the GCF of 41856 and 41871?

We will first find the prime factorization of 41856 and 41871. After we will calculate the factors of 41856 and 41871 and find the biggest common factor number .

Step-1: Prime Factorization of 41856

Prime factors of 41856 are 2, 3, 109. Prime factorization of 41856 in exponential form is:

41856 = 2⁷ × 3¹ × 109¹

Step-2: Prime Factorization of 41871

Prime factors of 41871 are 3, 17, 821. Prime factorization of 41871 in exponential form is:

41871 = 3¹ × 17¹ × 821¹

Step-3: Factors of 41856

List of positive integer factors of 41856 that divides 41856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 109, 128, 192, 218, 327, 384, 436, 654, 872, 1308, 1744, 2616, 3488, 5232, 6976, 10464, 13952, 20928

Step-4: Factors of 41871

List of positive integer factors of 41871 that divides 41856 without a remainder.

1, 3, 17, 51, 821, 2463, 13957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41856 and 41871. The biggest common factor number is the GCF number.
So the greatest common factor 41856 and 41871 is 3.

Also check out the Least Common Multiple of 41856 and 41871