What is the Greatest Common Factor of 43692 and 43699?

Greatest common factor (GCF) of 43692 and 43699 is 1.

GCF(43692,43699) = 1

We will now calculate the prime factors of 43692 and 43699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43692 and 43699.

How to find the GCF of 43692 and 43699?

We will first find the prime factorization of 43692 and 43699. After we will calculate the factors of 43692 and 43699 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 43699

Prime factors of 43699 are 89, 491. Prime factorization of 43699 in exponential form is:

43699 = 89¹ × 491¹

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 43699

List of positive integer factors of 43699 that divides 43692 without a remainder.

1, 89, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43692 and 43699. The biggest common factor number is the GCF number.
So the greatest common factor 43692 and 43699 is 1.

Also check out the Least Common Multiple of 43692 and 43699