What is the Greatest Common Factor of 41440 and 41448?

Greatest common factor (GCF) of 41440 and 41448 is 8.

GCF(41440,41448) = 8

We will now calculate the prime factors of 41440 and 41448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41440 and 41448.

How to find the GCF of 41440 and 41448?

We will first find the prime factorization of 41440 and 41448. After we will calculate the factors of 41440 and 41448 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 41448

Prime factors of 41448 are 2, 3, 11, 157. Prime factorization of 41448 in exponential form is:

41448 = 2³ × 3¹ × 11¹ × 157¹

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 41448

List of positive integer factors of 41448 that divides 41440 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 157, 264, 314, 471, 628, 942, 1256, 1727, 1884, 3454, 3768, 5181, 6908, 10362, 13816, 20724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41440 and 41448. The biggest common factor number is the GCF number.
So the greatest common factor 41440 and 41448 is 8.

Also check out the Least Common Multiple of 41440 and 41448