What is the Greatest Common Factor of 41440 and 41447?

Greatest common factor (GCF) of 41440 and 41447 is 7.

GCF(41440,41447) = 7

We will now calculate the prime factors of 41440 and 41447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41440 and 41447.

How to find the GCF of 41440 and 41447?

We will first find the prime factorization of 41440 and 41447. After we will calculate the factors of 41440 and 41447 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 41447

Prime factors of 41447 are 7, 31, 191. Prime factorization of 41447 in exponential form is:

41447 = 7¹ × 31¹ × 191¹

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 41447

List of positive integer factors of 41447 that divides 41440 without a remainder.

1, 7, 31, 191, 217, 1337, 5921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41440 and 41447. The biggest common factor number is the GCF number.
So the greatest common factor 41440 and 41447 is 7.

Also check out the Least Common Multiple of 41440 and 41447