What is the Greatest Common Factor of 43692 and 43698?

Greatest common factor (GCF) of 43692 and 43698 is 6.

GCF(43692,43698) = 6

We will now calculate the prime factors of 43692 and 43698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43692 and 43698.

How to find the GCF of 43692 and 43698?

We will first find the prime factorization of 43692 and 43698. After we will calculate the factors of 43692 and 43698 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43698

Prime factors of 43698 are 2, 3, 7283. Prime factorization of 43698 in exponential form is:

43698 = 2¹ × 3¹ × 7283¹

Step-3: Factors of 43692

List of positive integer factors of 43692 that divides 43692 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

Step-4: Factors of 43698

List of positive integer factors of 43698 that divides 43692 without a remainder.

1, 2, 3, 6, 7283, 14566, 21849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43692 and 43698. The biggest common factor number is the GCF number.
So the greatest common factor 43692 and 43698 is 6.

Also check out the Least Common Multiple of 43692 and 43698