What is the Greatest Common Factor of 41248 and 41264?

Greatest common factor (GCF) of 41248 and 41264 is 16.

GCF(41248,41264) = 16

We will now calculate the prime factors of 41248 and 41264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41248 and 41264.

How to find the GCF of 41248 and 41264?

We will first find the prime factorization of 41248 and 41264. After we will calculate the factors of 41248 and 41264 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 41264

Prime factors of 41264 are 2, 2579. Prime factorization of 41264 in exponential form is:

41264 = 2⁴ × 2579¹

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 41264

List of positive integer factors of 41264 that divides 41248 without a remainder.

1, 2, 4, 8, 16, 2579, 5158, 10316, 20632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41248 and 41264. The biggest common factor number is the GCF number.
So the greatest common factor 41248 and 41264 is 16.

Also check out the Least Common Multiple of 41248 and 41264