What is the Greatest Common Factor of 41200 and 41216?

Greatest common factor (GCF) of 41200 and 41216 is 16.

GCF(41200,41216) = 16

We will now calculate the prime factors of 41200 and 41216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41200 and 41216.

How to find the GCF of 41200 and 41216?

We will first find the prime factorization of 41200 and 41216. After we will calculate the factors of 41200 and 41216 and find the biggest common factor number .

Step-1: Prime Factorization of 41200

Prime factors of 41200 are 2, 5, 103. Prime factorization of 41200 in exponential form is:

41200 = 2⁴ × 5² × 103¹

Step-2: 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-3: Factors of 41200

List of positive integer factors of 41200 that divides 41200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 103, 200, 206, 400, 412, 515, 824, 1030, 1648, 2060, 2575, 4120, 5150, 8240, 10300, 20600

Step-4: Factors of 41216

List of positive integer factors of 41216 that divides 41200 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41200 and 41216. The biggest common factor number is the GCF number.
So the greatest common factor 41200 and 41216 is 16.

Also check out the Least Common Multiple of 41200 and 41216