What is the Greatest Common Factor of 43304 and 43314?

Greatest common factor (GCF) of 43304 and 43314 is 2.

GCF(43304,43314) = 2

We will now calculate the prime factors of 43304 and 43314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43304 and 43314.

How to find the GCF of 43304 and 43314?

We will first find the prime factorization of 43304 and 43314. After we will calculate the factors of 43304 and 43314 and find the biggest common factor number .

Step-1: Prime Factorization of 43304

Prime factors of 43304 are 2, 5413. Prime factorization of 43304 in exponential form is:

43304 = 2³ × 5413¹

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 43304

List of positive integer factors of 43304 that divides 43304 without a remainder.

1, 2, 4, 8, 5413, 10826, 21652

Step-4: Factors of 43314

List of positive integer factors of 43314 that divides 43304 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43304 and 43314. The biggest common factor number is the GCF number.
So the greatest common factor 43304 and 43314 is 2.

Also check out the Least Common Multiple of 43304 and 43314