What is the Greatest Common Factor of 41314 and 41322?

Greatest common factor (GCF) of 41314 and 41322 is 2.

GCF(41314,41322) = 2

We will now calculate the prime factors of 41314 and 41322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41314 and 41322.

How to find the GCF of 41314 and 41322?

We will first find the prime factorization of 41314 and 41322. After we will calculate the factors of 41314 and 41322 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 41322

Prime factors of 41322 are 2, 3, 71, 97. Prime factorization of 41322 in exponential form is:

41322 = 2¹ × 3¹ × 71¹ × 97¹

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 41322

List of positive integer factors of 41322 that divides 41314 without a remainder.

1, 2, 3, 6, 71, 97, 142, 194, 213, 291, 426, 582, 6887, 13774, 20661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41314 and 41322. The biggest common factor number is the GCF number.
So the greatest common factor 41314 and 41322 is 2.

Also check out the Least Common Multiple of 41314 and 41322