What is the Greatest Common Factor of 43300 and 43306?

Greatest common factor (GCF) of 43300 and 43306 is 2.

GCF(43300,43306) = 2

We will now calculate the prime factors of 43300 and 43306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43300 and 43306.

How to find the GCF of 43300 and 43306?

We will first find the prime factorization of 43300 and 43306. After we will calculate the factors of 43300 and 43306 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 43306

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

43306 = 2¹ × 59¹ × 367¹

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 43306

List of positive integer factors of 43306 that divides 43300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43300 and 43306. The biggest common factor number is the GCF number.
So the greatest common factor 43300 and 43306 is 2.

Also check out the Least Common Multiple of 43300 and 43306