What is the Greatest Common Factor of 41248 and 41256?

Greatest common factor (GCF) of 41248 and 41256 is 8.

GCF(41248,41256) = 8

We will now calculate the prime factors of 41248 and 41256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41248 and 41256.

How to find the GCF of 41248 and 41256?

We will first find the prime factorization of 41248 and 41256. After we will calculate the factors of 41248 and 41256 and find the biggest common factor number .

Step-1: Prime Factorization of 41248

Prime factors of 41248 are 2, 1289. Prime factorization of 41248 in exponential form is:

41248 = 2⁵ × 1289¹

Step-2: Prime Factorization of 41256

Prime factors of 41256 are 2, 3, 191. Prime factorization of 41256 in exponential form is:

41256 = 2³ × 3³ × 191¹

Step-3: Factors of 41248

List of positive integer factors of 41248 that divides 41248 without a remainder.

1, 2, 4, 8, 16, 32, 1289, 2578, 5156, 10312, 20624

Step-4: Factors of 41256

List of positive integer factors of 41256 that divides 41248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 191, 216, 382, 573, 764, 1146, 1528, 1719, 2292, 3438, 4584, 5157, 6876, 10314, 13752, 20628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41248 and 41256. The biggest common factor number is the GCF number.
So the greatest common factor 41248 and 41256 is 8.

Also check out the Least Common Multiple of 41248 and 41256