What is the Greatest Common Factor of 41312 and 41329?

Greatest common factor (GCF) of 41312 and 41329 is 1.

GCF(41312,41329) = 1

We will now calculate the prime factors of 41312 and 41329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41312 and 41329.

How to find the GCF of 41312 and 41329?

We will first find the prime factorization of 41312 and 41329. After we will calculate the factors of 41312 and 41329 and find the biggest common factor number .

Step-1: Prime Factorization of 41312

Prime factors of 41312 are 2, 1291. Prime factorization of 41312 in exponential form is:

41312 = 2⁵ × 1291¹

Step-2: Prime Factorization of 41329

Prime factors of 41329 are 37, 1117. Prime factorization of 41329 in exponential form is:

41329 = 37¹ × 1117¹

Step-3: Factors of 41312

List of positive integer factors of 41312 that divides 41312 without a remainder.

1, 2, 4, 8, 16, 32, 1291, 2582, 5164, 10328, 20656

Step-4: Factors of 41329

List of positive integer factors of 41329 that divides 41312 without a remainder.

1, 37, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41312 and 41329. The biggest common factor number is the GCF number.
So the greatest common factor 41312 and 41329 is 1.

Also check out the Least Common Multiple of 41312 and 41329