What is the Greatest Common Factor of 41314 and 41329?

Greatest common factor (GCF) of 41314 and 41329 is 1.

GCF(41314,41329) = 1

We will now calculate the prime factors of 41314 and 41329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41314 and 41329.

How to find the GCF of 41314 and 41329?

We will first find the prime factorization of 41314 and 41329. After we will calculate the factors of 41314 and 41329 and find the biggest common factor number .

Step-1: Prime Factorization of 41314

Prime factors of 41314 are 2, 7, 13, 227. Prime factorization of 41314 in exponential form is:

41314 = 2¹ × 7¹ × 13¹ × 227¹

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 41314

List of positive integer factors of 41314 that divides 41314 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 227, 454, 1589, 2951, 3178, 5902, 20657

Step-4: Factors of 41329

List of positive integer factors of 41329 that divides 41314 without a remainder.

1, 37, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41314 and 41329. The biggest common factor number is the GCF number.
So the greatest common factor 41314 and 41329 is 1.

Also check out the Least Common Multiple of 41314 and 41329