What is the Greatest Common Factor of 41440 and 41444?

Greatest common factor (GCF) of 41440 and 41444 is 4.

GCF(41440,41444) = 4

We will now calculate the prime factors of 41440 and 41444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41440 and 41444.

How to find the GCF of 41440 and 41444?

We will first find the prime factorization of 41440 and 41444. After we will calculate the factors of 41440 and 41444 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41444

Prime factors of 41444 are 2, 13, 797. Prime factorization of 41444 in exponential form is:

41444 = 2² × 13¹ × 797¹

Step-3: Factors of 41440

List of positive integer factors of 41440 that divides 41440 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

Step-4: Factors of 41444

List of positive integer factors of 41444 that divides 41440 without a remainder.

1, 2, 4, 13, 26, 52, 797, 1594, 3188, 10361, 20722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41440 and 41444. The biggest common factor number is the GCF number.
So the greatest common factor 41440 and 41444 is 4.

Also check out the Least Common Multiple of 41440 and 41444