What is the Greatest Common Factor of 41376 and 41387?

Greatest common factor (GCF) of 41376 and 41387 is 1.

GCF(41376,41387) = 1

We will now calculate the prime factors of 41376 and 41387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41376 and 41387.

How to find the GCF of 41376 and 41387?

We will first find the prime factorization of 41376 and 41387. After we will calculate the factors of 41376 and 41387 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 41387

Prime factors of 41387 are 41387. Prime factorization of 41387 in exponential form is:

41387 = 41387¹

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 41387

List of positive integer factors of 41387 that divides 41376 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41376 and 41387. The biggest common factor number is the GCF number.
So the greatest common factor 41376 and 41387 is 1.

Also check out the Least Common Multiple of 41376 and 41387