What is the Greatest Common Factor of 43792 and 43806?

Greatest common factor (GCF) of 43792 and 43806 is 14.

GCF(43792,43806) = 14

We will now calculate the prime factors of 43792 and 43806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43792 and 43806.

How to find the GCF of 43792 and 43806?

We will first find the prime factorization of 43792 and 43806. After we will calculate the factors of 43792 and 43806 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 43806

Prime factors of 43806 are 2, 3, 7, 149. Prime factorization of 43806 in exponential form is:

43806 = 2¹ × 3¹ × 7² × 149¹

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 43806

List of positive integer factors of 43806 that divides 43792 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 149, 294, 298, 447, 894, 1043, 2086, 3129, 6258, 7301, 14602, 21903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43792 and 43806. The biggest common factor number is the GCF number.
So the greatest common factor 43792 and 43806 is 14.

Also check out the Least Common Multiple of 43792 and 43806