What is the Greatest Common Factor of 41216 and 41226?

Greatest common factor (GCF) of 41216 and 41226 is 2.

GCF(41216,41226) = 2

We will now calculate the prime factors of 41216 and 41226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41216 and 41226.

How to find the GCF of 41216 and 41226?

We will first find the prime factorization of 41216 and 41226. After we will calculate the factors of 41216 and 41226 and find the biggest common factor number .

Step-1: Prime Factorization of 41216

Prime factors of 41216 are 2, 7, 23. Prime factorization of 41216 in exponential form is:

41216 = 2⁸ × 7¹ × 23¹

Step-2: Prime Factorization of 41226

Prime factors of 41226 are 2, 3, 6871. Prime factorization of 41226 in exponential form is:

41226 = 2¹ × 3¹ × 6871¹

Step-3: Factors of 41216

List of positive integer factors of 41216 that divides 41216 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 64, 92, 112, 128, 161, 184, 224, 256, 322, 368, 448, 644, 736, 896, 1288, 1472, 1792, 2576, 2944, 5152, 5888, 10304, 20608

Step-4: Factors of 41226

List of positive integer factors of 41226 that divides 41216 without a remainder.

1, 2, 3, 6, 6871, 13742, 20613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41216 and 41226. The biggest common factor number is the GCF number.
So the greatest common factor 41216 and 41226 is 2.

Also check out the Least Common Multiple of 41216 and 41226