What is the Greatest Common Factor of 41216 and 41224?

Greatest common factor (GCF) of 41216 and 41224 is 8.

GCF(41216,41224) = 8

We will now calculate the prime factors of 41216 and 41224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41216 and 41224.

How to find the GCF of 41216 and 41224?

We will first find the prime factorization of 41216 and 41224. After we will calculate the factors of 41216 and 41224 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 41224

Prime factors of 41224 are 2, 5153. Prime factorization of 41224 in exponential form is:

41224 = 2³ × 5153¹

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 41224

List of positive integer factors of 41224 that divides 41216 without a remainder.

1, 2, 4, 8, 5153, 10306, 20612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41216 and 41224. The biggest common factor number is the GCF number.
So the greatest common factor 41216 and 41224 is 8.

Also check out the Least Common Multiple of 41216 and 41224