What is the Greatest Common Factor of 43683 and 43692?

Greatest common factor (GCF) of 43683 and 43692 is 3.

GCF(43683,43692) = 3

We will now calculate the prime factors of 43683 and 43692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43683 and 43692.

How to find the GCF of 43683 and 43692?

We will first find the prime factorization of 43683 and 43692. After we will calculate the factors of 43683 and 43692 and find the biggest common factor number .

Step-1: Prime Factorization of 43683

Prime factors of 43683 are 3, 14561. Prime factorization of 43683 in exponential form is:

43683 = 3¹ × 14561¹

Step-2: Prime Factorization of 43692

Prime factors of 43692 are 2, 3, 11, 331. Prime factorization of 43692 in exponential form is:

43692 = 2² × 3¹ × 11¹ × 331¹

Step-3: Factors of 43683

List of positive integer factors of 43683 that divides 43683 without a remainder.

1, 3, 14561

Step-4: Factors of 43692

List of positive integer factors of 43692 that divides 43683 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 331, 662, 993, 1324, 1986, 3641, 3972, 7282, 10923, 14564, 21846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43683 and 43692. The biggest common factor number is the GCF number.
So the greatest common factor 43683 and 43692 is 3.

Also check out the Least Common Multiple of 43683 and 43692