What is the Greatest Common Factor of 41392 and 41404?

Greatest common factor (GCF) of 41392 and 41404 is 4.

GCF(41392,41404) = 4

We will now calculate the prime factors of 41392 and 41404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41392 and 41404.

How to find the GCF of 41392 and 41404?

We will first find the prime factorization of 41392 and 41404. After we will calculate the factors of 41392 and 41404 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 41404

Prime factors of 41404 are 2, 11, 941. Prime factorization of 41404 in exponential form is:

41404 = 2² × 11¹ × 941¹

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 41404

List of positive integer factors of 41404 that divides 41392 without a remainder.

1, 2, 4, 11, 22, 44, 941, 1882, 3764, 10351, 20702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41392 and 41404. The biggest common factor number is the GCF number.
So the greatest common factor 41392 and 41404 is 4.

Also check out the Least Common Multiple of 41392 and 41404