What is the Greatest Common Factor of 43306 and 43312?

Greatest common factor (GCF) of 43306 and 43312 is 2.

GCF(43306,43312) = 2

We will now calculate the prime factors of 43306 and 43312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43306 and 43312.

How to find the GCF of 43306 and 43312?

We will first find the prime factorization of 43306 and 43312. After we will calculate the factors of 43306 and 43312 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 43312

Prime factors of 43312 are 2, 2707. Prime factorization of 43312 in exponential form is:

43312 = 2⁴ × 2707¹

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 43312

List of positive integer factors of 43312 that divides 43306 without a remainder.

1, 2, 4, 8, 16, 2707, 5414, 10828, 21656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43306 and 43312. The biggest common factor number is the GCF number.
So the greatest common factor 43306 and 43312 is 2.

Also check out the Least Common Multiple of 43306 and 43312