What is the Greatest Common Factor of 41376 and 41383?

Greatest common factor (GCF) of 41376 and 41383 is 1.

GCF(41376,41383) = 1

We will now calculate the prime factors of 41376 and 41383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41376 and 41383.

How to find the GCF of 41376 and 41383?

We will first find the prime factorization of 41376 and 41383. After we will calculate the factors of 41376 and 41383 and find the biggest common factor number .

Step-1: Prime Factorization of 41376

Prime factors of 41376 are 2, 3, 431. Prime factorization of 41376 in exponential form is:

41376 = 2⁵ × 3¹ × 431¹

Step-2: Prime Factorization of 41383

Prime factors of 41383 are 29, 1427. Prime factorization of 41383 in exponential form is:

41383 = 29¹ × 1427¹

Step-3: Factors of 41376

List of positive integer factors of 41376 that divides 41376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 431, 862, 1293, 1724, 2586, 3448, 5172, 6896, 10344, 13792, 20688

Step-4: Factors of 41383

List of positive integer factors of 41383 that divides 41376 without a remainder.

1, 29, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41376 and 41383. The biggest common factor number is the GCF number.
So the greatest common factor 41376 and 41383 is 1.

Also check out the Least Common Multiple of 41376 and 41383