What is the Greatest Common Factor of 41216 and 41235?

Greatest common factor (GCF) of 41216 and 41235 is 1.

GCF(41216,41235) = 1

We will now calculate the prime factors of 41216 and 41235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41216 and 41235.

How to find the GCF of 41216 and 41235?

We will first find the prime factorization of 41216 and 41235. After we will calculate the factors of 41216 and 41235 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 41235

Prime factors of 41235 are 3, 5, 2749. Prime factorization of 41235 in exponential form is:

41235 = 3¹ × 5¹ × 2749¹

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 41235

List of positive integer factors of 41235 that divides 41216 without a remainder.

1, 3, 5, 15, 2749, 8247, 13745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41216 and 41235. The biggest common factor number is the GCF number.
So the greatest common factor 41216 and 41235 is 1.

Also check out the Least Common Multiple of 41216 and 41235