What is the Greatest Common Factor of 43332 and 43347?

Greatest common factor (GCF) of 43332 and 43347 is 3.

GCF(43332,43347) = 3

We will now calculate the prime factors of 43332 and 43347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43332 and 43347.

How to find the GCF of 43332 and 43347?

We will first find the prime factorization of 43332 and 43347. After we will calculate the factors of 43332 and 43347 and find the biggest common factor number .

Step-1: Prime Factorization of 43332

Prime factors of 43332 are 2, 3, 23, 157. Prime factorization of 43332 in exponential form is:

43332 = 2² × 3¹ × 23¹ × 157¹

Step-2: Prime Factorization of 43347

Prime factors of 43347 are 3, 14449. Prime factorization of 43347 in exponential form is:

43347 = 3¹ × 14449¹

Step-3: Factors of 43332

List of positive integer factors of 43332 that divides 43332 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 157, 276, 314, 471, 628, 942, 1884, 3611, 7222, 10833, 14444, 21666

Step-4: Factors of 43347

List of positive integer factors of 43347 that divides 43332 without a remainder.

1, 3, 14449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43332 and 43347. The biggest common factor number is the GCF number.
So the greatest common factor 43332 and 43347 is 3.

Also check out the Least Common Multiple of 43332 and 43347