What is the Greatest Common Factor of 41440 and 41445?

Greatest common factor (GCF) of 41440 and 41445 is 5.

GCF(41440,41445) = 5

We will now calculate the prime factors of 41440 and 41445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41440 and 41445.

How to find the GCF of 41440 and 41445?

We will first find the prime factorization of 41440 and 41445. After we will calculate the factors of 41440 and 41445 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 41445

Prime factors of 41445 are 3, 5, 307. Prime factorization of 41445 in exponential form is:

41445 = 3³ × 5¹ × 307¹

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 41445

List of positive integer factors of 41445 that divides 41440 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 307, 921, 1535, 2763, 4605, 8289, 13815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41440 and 41445. The biggest common factor number is the GCF number.
So the greatest common factor 41440 and 41445 is 5.

Also check out the Least Common Multiple of 41440 and 41445