What is the Greatest Common Factor of 41312 and 41328?

Greatest common factor (GCF) of 41312 and 41328 is 16.

GCF(41312,41328) = 16

We will now calculate the prime factors of 41312 and 41328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41312 and 41328.

How to find the GCF of 41312 and 41328?

We will first find the prime factorization of 41312 and 41328. After we will calculate the factors of 41312 and 41328 and find the biggest common factor number .

Step-1: Prime Factorization of 41312

Prime factors of 41312 are 2, 1291. Prime factorization of 41312 in exponential form is:

41312 = 2⁵ × 1291¹

Step-2: Prime Factorization of 41328

Prime factors of 41328 are 2, 3, 7, 41. Prime factorization of 41328 in exponential form is:

41328 = 2⁴ × 3² × 7¹ × 41¹

Step-3: Factors of 41312

List of positive integer factors of 41312 that divides 41312 without a remainder.

1, 2, 4, 8, 16, 32, 1291, 2582, 5164, 10328, 20656

Step-4: Factors of 41328

List of positive integer factors of 41328 that divides 41312 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 41, 42, 48, 56, 63, 72, 82, 84, 112, 123, 126, 144, 164, 168, 246, 252, 287, 328, 336, 369, 492, 504, 574, 656, 738, 861, 984, 1008, 1148, 1476, 1722, 1968, 2296, 2583, 2952, 3444, 4592, 5166, 5904, 6888, 10332, 13776, 20664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41312 and 41328. The biggest common factor number is the GCF number.
So the greatest common factor 41312 and 41328 is 16.

Also check out the Least Common Multiple of 41312 and 41328