What is the Greatest Common Factor of 43792 and 43809?

Greatest common factor (GCF) of 43792 and 43809 is 17.

GCF(43792,43809) = 17

We will now calculate the prime factors of 43792 and 43809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43792 and 43809.

How to find the GCF of 43792 and 43809?

We will first find the prime factorization of 43792 and 43809. After we will calculate the factors of 43792 and 43809 and find the biggest common factor number .

Step-1: Prime Factorization of 43792

Prime factors of 43792 are 2, 7, 17, 23. Prime factorization of 43792 in exponential form is:

43792 = 2⁴ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 43809

Prime factors of 43809 are 3, 17, 859. Prime factorization of 43809 in exponential form is:

43809 = 3¹ × 17¹ × 859¹

Step-3: Factors of 43792

List of positive integer factors of 43792 that divides 43792 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 23, 28, 34, 46, 56, 68, 92, 112, 119, 136, 161, 184, 238, 272, 322, 368, 391, 476, 644, 782, 952, 1288, 1564, 1904, 2576, 2737, 3128, 5474, 6256, 10948, 21896

Step-4: Factors of 43809

List of positive integer factors of 43809 that divides 43792 without a remainder.

1, 3, 17, 51, 859, 2577, 14603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43792 and 43809. The biggest common factor number is the GCF number.
So the greatest common factor 43792 and 43809 is 17.

Also check out the Least Common Multiple of 43792 and 43809