What is the Greatest Common Factor of 41424 and 41440?

Greatest common factor (GCF) of 41424 and 41440 is 16.

GCF(41424,41440) = 16

We will now calculate the prime factors of 41424 and 41440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41424 and 41440.

How to find the GCF of 41424 and 41440?

We will first find the prime factorization of 41424 and 41440. After we will calculate the factors of 41424 and 41440 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41440

Prime factors of 41440 are 2, 5, 7, 37. Prime factorization of 41440 in exponential form is:

41440 = 2⁵ × 5¹ × 7¹ × 37¹

Step-3: Factors of 41424

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

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

Step-4: Factors of 41440

List of positive integer factors of 41440 that divides 41424 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 37, 40, 56, 70, 74, 80, 112, 140, 148, 160, 185, 224, 259, 280, 296, 370, 518, 560, 592, 740, 1036, 1120, 1184, 1295, 1480, 2072, 2590, 2960, 4144, 5180, 5920, 8288, 10360, 20720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41424 and 41440. The biggest common factor number is the GCF number.
So the greatest common factor 41424 and 41440 is 16.

Also check out the Least Common Multiple of 41424 and 41440