What is the Greatest Common Factor of 41309 and 41314?

Greatest common factor (GCF) of 41309 and 41314 is 1.

GCF(41309,41314) = 1

We will now calculate the prime factors of 41309 and 41314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41309 and 41314.

How to find the GCF of 41309 and 41314?

We will first find the prime factorization of 41309 and 41314. After we will calculate the factors of 41309 and 41314 and find the biggest common factor number .

Step-1: Prime Factorization of 41309

Prime factors of 41309 are 101, 409. Prime factorization of 41309 in exponential form is:

41309 = 101¹ × 409¹

Step-2: 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-3: Factors of 41309

List of positive integer factors of 41309 that divides 41309 without a remainder.

1, 101, 409

Step-4: Factors of 41314

List of positive integer factors of 41314 that divides 41309 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41309 and 41314. The biggest common factor number is the GCF number.
So the greatest common factor 41309 and 41314 is 1.

Also check out the Least Common Multiple of 41309 and 41314