What is the Greatest Common Factor of 43810 and 43824?

Greatest common factor (GCF) of 43810 and 43824 is 2.

GCF(43810,43824) = 2

We will now calculate the prime factors of 43810 and 43824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43810 and 43824.

How to find the GCF of 43810 and 43824?

We will first find the prime factorization of 43810 and 43824. After we will calculate the factors of 43810 and 43824 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43824

Prime factors of 43824 are 2, 3, 11, 83. Prime factorization of 43824 in exponential form is:

43824 = 2⁴ × 3¹ × 11¹ × 83¹

Step-3: Factors of 43810

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

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

Step-4: Factors of 43824

List of positive integer factors of 43824 that divides 43810 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 83, 88, 132, 166, 176, 249, 264, 332, 498, 528, 664, 913, 996, 1328, 1826, 1992, 2739, 3652, 3984, 5478, 7304, 10956, 14608, 21912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43810 and 43824. The biggest common factor number is the GCF number.
So the greatest common factor 43810 and 43824 is 2.

Also check out the Least Common Multiple of 43810 and 43824