What is the Greatest Common Factor of 43300 and 43314?

Greatest common factor (GCF) of 43300 and 43314 is 2.

GCF(43300,43314) = 2

We will now calculate the prime factors of 43300 and 43314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43300 and 43314.

How to find the GCF of 43300 and 43314?

We will first find the prime factorization of 43300 and 43314. After we will calculate the factors of 43300 and 43314 and find the biggest common factor number .

Step-1: Prime Factorization of 43300

Prime factors of 43300 are 2, 5, 433. Prime factorization of 43300 in exponential form is:

43300 = 2² × 5² × 433¹

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 43300

List of positive integer factors of 43300 that divides 43300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 433, 866, 1732, 2165, 4330, 8660, 10825, 21650

Step-4: Factors of 43314

List of positive integer factors of 43314 that divides 43300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43300 and 43314. The biggest common factor number is the GCF number.
So the greatest common factor 43300 and 43314 is 2.

Also check out the Least Common Multiple of 43300 and 43314