What is the Greatest Common Factor of 41056 and 41072?

Greatest common factor (GCF) of 41056 and 41072 is 16.

GCF(41056,41072) = 16

We will now calculate the prime factors of 41056 and 41072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41056 and 41072.

How to find the GCF of 41056 and 41072?

We will first find the prime factorization of 41056 and 41072. After we will calculate the factors of 41056 and 41072 and find the biggest common factor number .

Step-1: Prime Factorization of 41056

Prime factors of 41056 are 2, 1283. Prime factorization of 41056 in exponential form is:

41056 = 2⁵ × 1283¹

Step-2: Prime Factorization of 41072

Prime factors of 41072 are 2, 17, 151. Prime factorization of 41072 in exponential form is:

41072 = 2⁴ × 17¹ × 151¹

Step-3: Factors of 41056

List of positive integer factors of 41056 that divides 41056 without a remainder.

1, 2, 4, 8, 16, 32, 1283, 2566, 5132, 10264, 20528

Step-4: Factors of 41072

List of positive integer factors of 41072 that divides 41056 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 151, 272, 302, 604, 1208, 2416, 2567, 5134, 10268, 20536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41056 and 41072. The biggest common factor number is the GCF number.
So the greatest common factor 41056 and 41072 is 16.

Also check out the Least Common Multiple of 41056 and 41072