What is the Greatest Common Factor of 41440 and 41456?

Greatest common factor (GCF) of 41440 and 41456 is 16.

GCF(41440,41456) = 16

We will now calculate the prime factors of 41440 and 41456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41440 and 41456.

How to find the GCF of 41440 and 41456?

We will first find the prime factorization of 41440 and 41456. After we will calculate the factors of 41440 and 41456 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 41456

Prime factors of 41456 are 2, 2591. Prime factorization of 41456 in exponential form is:

41456 = 2⁴ × 2591¹

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 41456

List of positive integer factors of 41456 that divides 41440 without a remainder.

1, 2, 4, 8, 16, 2591, 5182, 10364, 20728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41440 and 41456. The biggest common factor number is the GCF number.
So the greatest common factor 41440 and 41456 is 16.

Also check out the Least Common Multiple of 41440 and 41456