What is the Greatest Common Factor of 41216 and 41230?

Greatest common factor (GCF) of 41216 and 41230 is 14.

GCF(41216,41230) = 14

We will now calculate the prime factors of 41216 and 41230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41216 and 41230.

How to find the GCF of 41216 and 41230?

We will first find the prime factorization of 41216 and 41230. After we will calculate the factors of 41216 and 41230 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 41230

Prime factors of 41230 are 2, 5, 7, 19, 31. Prime factorization of 41230 in exponential form is:

41230 = 2¹ × 5¹ × 7¹ × 19¹ × 31¹

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 41230

List of positive integer factors of 41230 that divides 41216 without a remainder.

1, 2, 5, 7, 10, 14, 19, 31, 35, 38, 62, 70, 95, 133, 155, 190, 217, 266, 310, 434, 589, 665, 1085, 1178, 1330, 2170, 2945, 4123, 5890, 8246, 20615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41216 and 41230. The biggest common factor number is the GCF number.
So the greatest common factor 41216 and 41230 is 14.

Also check out the Least Common Multiple of 41216 and 41230