What is the Greatest Common Factor of 43647 and 43662?

Greatest common factor (GCF) of 43647 and 43662 is 3.

GCF(43647,43662) = 3

We will now calculate the prime factors of 43647 and 43662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43647 and 43662.

How to find the GCF of 43647 and 43662?

We will first find the prime factorization of 43647 and 43662. After we will calculate the factors of 43647 and 43662 and find the biggest common factor number .

Step-1: Prime Factorization of 43647

Prime factors of 43647 are 3, 14549. Prime factorization of 43647 in exponential form is:

43647 = 3¹ × 14549¹

Step-2: Prime Factorization of 43662

Prime factors of 43662 are 2, 3, 19, 383. Prime factorization of 43662 in exponential form is:

43662 = 2¹ × 3¹ × 19¹ × 383¹

Step-3: Factors of 43647

List of positive integer factors of 43647 that divides 43647 without a remainder.

1, 3, 14549

Step-4: Factors of 43662

List of positive integer factors of 43662 that divides 43647 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 383, 766, 1149, 2298, 7277, 14554, 21831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43647 and 43662. The biggest common factor number is the GCF number.
So the greatest common factor 43647 and 43662 is 3.

Also check out the Least Common Multiple of 43647 and 43662