What is the Greatest Common Factor of 41344 and 41360?

Greatest common factor (GCF) of 41344 and 41360 is 16.

GCF(41344,41360) = 16

We will now calculate the prime factors of 41344 and 41360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41344 and 41360.

How to find the GCF of 41344 and 41360?

We will first find the prime factorization of 41344 and 41360. After we will calculate the factors of 41344 and 41360 and find the biggest common factor number .

Step-1: Prime Factorization of 41344

Prime factors of 41344 are 2, 17, 19. Prime factorization of 41344 in exponential form is:

41344 = 2⁷ × 17¹ × 19¹

Step-2: Prime Factorization of 41360

Prime factors of 41360 are 2, 5, 11, 47. Prime factorization of 41360 in exponential form is:

41360 = 2⁴ × 5¹ × 11¹ × 47¹

Step-3: Factors of 41344

List of positive integer factors of 41344 that divides 41344 without a remainder.

1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 128, 136, 152, 272, 304, 323, 544, 608, 646, 1088, 1216, 1292, 2176, 2432, 2584, 5168, 10336, 20672

Step-4: Factors of 41360

List of positive integer factors of 41360 that divides 41344 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 47, 55, 80, 88, 94, 110, 176, 188, 220, 235, 376, 440, 470, 517, 752, 880, 940, 1034, 1880, 2068, 2585, 3760, 4136, 5170, 8272, 10340, 20680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41344 and 41360. The biggest common factor number is the GCF number.
So the greatest common factor 41344 and 41360 is 16.

Also check out the Least Common Multiple of 41344 and 41360