What is the Greatest Common Factor of 43785 and 43792?

Greatest common factor (GCF) of 43785 and 43792 is 7.

GCF(43785,43792) = 7

We will now calculate the prime factors of 43785 and 43792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43785 and 43792.

How to find the GCF of 43785 and 43792?

We will first find the prime factorization of 43785 and 43792. After we will calculate the factors of 43785 and 43792 and find the biggest common factor number .

Step-1: Prime Factorization of 43785

Prime factors of 43785 are 3, 5, 7, 139. Prime factorization of 43785 in exponential form is:

43785 = 3² × 5¹ × 7¹ × 139¹

Step-2: 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-3: Factors of 43785

List of positive integer factors of 43785 that divides 43785 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 139, 315, 417, 695, 973, 1251, 2085, 2919, 4865, 6255, 8757, 14595

Step-4: Factors of 43792

List of positive integer factors of 43792 that divides 43785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43785 and 43792. The biggest common factor number is the GCF number.
So the greatest common factor 43785 and 43792 is 7.

Also check out the Least Common Multiple of 43785 and 43792