What is the Greatest Common Factor of 43792 and 43810?

Greatest common factor (GCF) of 43792 and 43810 is 2.

GCF(43792,43810) = 2

We will now calculate the prime factors of 43792 and 43810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43792 and 43810.

How to find the GCF of 43792 and 43810?

We will first find the prime factorization of 43792 and 43810. After we will calculate the factors of 43792 and 43810 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 43810

Prime factors of 43810 are 2, 5, 13, 337. Prime factorization of 43810 in exponential form is:

43810 = 2¹ × 5¹ × 13¹ × 337¹

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 43810

List of positive integer factors of 43810 that divides 43792 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 337, 674, 1685, 3370, 4381, 8762, 21905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43792 and 43810. The biggest common factor number is the GCF number.
So the greatest common factor 43792 and 43810 is 2.

Also check out the Least Common Multiple of 43792 and 43810