What is the Greatest Common Factor of 43824 and 43844?

Greatest common factor (GCF) of 43824 and 43844 is 4.

GCF(43824,43844) = 4

We will now calculate the prime factors of 43824 and 43844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43824 and 43844.

How to find the GCF of 43824 and 43844?

We will first find the prime factorization of 43824 and 43844. After we will calculate the factors of 43824 and 43844 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43844

Prime factors of 43844 are 2, 97, 113. Prime factorization of 43844 in exponential form is:

43844 = 2² × 97¹ × 113¹

Step-3: Factors of 43824

List of positive integer factors of 43824 that divides 43824 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

Step-4: Factors of 43844

List of positive integer factors of 43844 that divides 43824 without a remainder.

1, 2, 4, 97, 113, 194, 226, 388, 452, 10961, 21922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43824 and 43844. The biggest common factor number is the GCF number.
So the greatest common factor 43824 and 43844 is 4.

Also check out the Least Common Multiple of 43824 and 43844