What is the Greatest Common Factor of 43813 and 43824?

Greatest common factor (GCF) of 43813 and 43824 is 11.

GCF(43813,43824) = 11

We will now calculate the prime factors of 43813 and 43824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43813 and 43824.

How to find the GCF of 43813 and 43824?

We will first find the prime factorization of 43813 and 43824. After we will calculate the factors of 43813 and 43824 and find the biggest common factor number .

Step-1: Prime Factorization of 43813

Prime factors of 43813 are 7, 11, 569. Prime factorization of 43813 in exponential form is:

43813 = 7¹ × 11¹ × 569¹

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 43813

List of positive integer factors of 43813 that divides 43813 without a remainder.

1, 7, 11, 77, 569, 3983, 6259

Step-4: Factors of 43824

List of positive integer factors of 43824 that divides 43813 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 43813 and 43824. The biggest common factor number is the GCF number.
So the greatest common factor 43813 and 43824 is 11.

Also check out the Least Common Multiple of 43813 and 43824