What is the Greatest Common Factor of 41392 and 41408?

Greatest common factor (GCF) of 41392 and 41408 is 16.

GCF(41392,41408) = 16

We will now calculate the prime factors of 41392 and 41408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41392 and 41408.

How to find the GCF of 41392 and 41408?

We will first find the prime factorization of 41392 and 41408. After we will calculate the factors of 41392 and 41408 and find the biggest common factor number .

Step-1: Prime Factorization of 41392

Prime factors of 41392 are 2, 13, 199. Prime factorization of 41392 in exponential form is:

41392 = 2⁴ × 13¹ × 199¹

Step-2: Prime Factorization of 41408

Prime factors of 41408 are 2, 647. Prime factorization of 41408 in exponential form is:

41408 = 2⁶ × 647¹

Step-3: Factors of 41392

List of positive integer factors of 41392 that divides 41392 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 199, 208, 398, 796, 1592, 2587, 3184, 5174, 10348, 20696

Step-4: Factors of 41408

List of positive integer factors of 41408 that divides 41392 without a remainder.

1, 2, 4, 8, 16, 32, 64, 647, 1294, 2588, 5176, 10352, 20704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41392 and 41408. The biggest common factor number is the GCF number.
So the greatest common factor 41392 and 41408 is 16.

Also check out the Least Common Multiple of 41392 and 41408