What is the Greatest Common Factor of 43306 and 43314?

Greatest common factor (GCF) of 43306 and 43314 is 2.

GCF(43306,43314) = 2

We will now calculate the prime factors of 43306 and 43314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43306 and 43314.

How to find the GCF of 43306 and 43314?

We will first find the prime factorization of 43306 and 43314. After we will calculate the factors of 43306 and 43314 and find the biggest common factor number .

Step-1: Prime Factorization of 43306

Prime factors of 43306 are 2, 59, 367. Prime factorization of 43306 in exponential form is:

43306 = 2¹ × 59¹ × 367¹

Step-2: Prime Factorization of 43314

Prime factors of 43314 are 2, 3, 7219. Prime factorization of 43314 in exponential form is:

43314 = 2¹ × 3¹ × 7219¹

Step-3: Factors of 43306

List of positive integer factors of 43306 that divides 43306 without a remainder.

1, 2, 59, 118, 367, 734, 21653

Step-4: Factors of 43314

List of positive integer factors of 43314 that divides 43306 without a remainder.

1, 2, 3, 6, 7219, 14438, 21657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43306 and 43314. The biggest common factor number is the GCF number.
So the greatest common factor 43306 and 43314 is 2.

Also check out the Least Common Multiple of 43306 and 43314