What is the Greatest Common Factor of 41314 and 41324?

Greatest common factor (GCF) of 41314 and 41324 is 2.

GCF(41314,41324) = 2

We will now calculate the prime factors of 41314 and 41324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41314 and 41324.

How to find the GCF of 41314 and 41324?

We will first find the prime factorization of 41314 and 41324. After we will calculate the factors of 41314 and 41324 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 41324

Prime factors of 41324 are 2, 10331. Prime factorization of 41324 in exponential form is:

41324 = 2² × 10331¹

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 41324

List of positive integer factors of 41324 that divides 41314 without a remainder.

1, 2, 4, 10331, 20662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41314 and 41324. The biggest common factor number is the GCF number.
So the greatest common factor 41314 and 41324 is 2.

Also check out the Least Common Multiple of 41314 and 41324