What is the Greatest Common Factor of 43692 and 43709?

Greatest common factor (GCF) of 43692 and 43709 is 1.

GCF(43692,43709) = 1

We will now calculate the prime factors of 43692 and 43709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43692 and 43709.

How to find the GCF of 43692 and 43709?

We will first find the prime factorization of 43692 and 43709. After we will calculate the factors of 43692 and 43709 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 43709

Prime factors of 43709 are 109, 401. Prime factorization of 43709 in exponential form is:

43709 = 109¹ × 401¹

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 43709

List of positive integer factors of 43709 that divides 43692 without a remainder.

1, 109, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43692 and 43709. The biggest common factor number is the GCF number.
So the greatest common factor 43692 and 43709 is 1.

Also check out the Least Common Multiple of 43692 and 43709