What is the Greatest Common Factor of 41408 and 41424?

Greatest common factor (GCF) of 41408 and 41424 is 16.

GCF(41408,41424) = 16

We will now calculate the prime factors of 41408 and 41424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41408 and 41424.

How to find the GCF of 41408 and 41424?

We will first find the prime factorization of 41408 and 41424. After we will calculate the factors of 41408 and 41424 and find the biggest common factor number .

Step-1: Prime Factorization of 41408

Prime factors of 41408 are 2, 647. Prime factorization of 41408 in exponential form is:

41408 = 2⁶ × 647¹

Step-2: Prime Factorization of 41424

Prime factors of 41424 are 2, 3, 863. Prime factorization of 41424 in exponential form is:

41424 = 2⁴ × 3¹ × 863¹

Step-3: Factors of 41408

List of positive integer factors of 41408 that divides 41408 without a remainder.

1, 2, 4, 8, 16, 32, 64, 647, 1294, 2588, 5176, 10352, 20704

Step-4: Factors of 41424

List of positive integer factors of 41424 that divides 41408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 863, 1726, 2589, 3452, 5178, 6904, 10356, 13808, 20712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41408 and 41424. The biggest common factor number is the GCF number.
So the greatest common factor 41408 and 41424 is 16.

Also check out the Least Common Multiple of 41408 and 41424