What is the Greatest Common Factor of 41840 and 41856?

Greatest common factor (GCF) of 41840 and 41856 is 16.

GCF(41840,41856) = 16

We will now calculate the prime factors of 41840 and 41856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41840 and 41856.

How to find the GCF of 41840 and 41856?

We will first find the prime factorization of 41840 and 41856. After we will calculate the factors of 41840 and 41856 and find the biggest common factor number .

Step-1: Prime Factorization of 41840

Prime factors of 41840 are 2, 5, 523. Prime factorization of 41840 in exponential form is:

41840 = 2⁴ × 5¹ × 523¹

Step-2: 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-3: Factors of 41840

List of positive integer factors of 41840 that divides 41840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 523, 1046, 2092, 2615, 4184, 5230, 8368, 10460, 20920

Step-4: Factors of 41856

List of positive integer factors of 41856 that divides 41840 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41840 and 41856. The biggest common factor number is the GCF number.
So the greatest common factor 41840 and 41856 is 16.

Also check out the Least Common Multiple of 41840 and 41856