What is the Greatest Common Factor of 43824 and 43835?

Greatest common factor (GCF) of 43824 and 43835 is 11.

GCF(43824,43835) = 11

We will now calculate the prime factors of 43824 and 43835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43824 and 43835.

How to find the GCF of 43824 and 43835?

We will first find the prime factorization of 43824 and 43835. After we will calculate the factors of 43824 and 43835 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 43835

Prime factors of 43835 are 5, 11, 797. Prime factorization of 43835 in exponential form is:

43835 = 5¹ × 11¹ × 797¹

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 43835

List of positive integer factors of 43835 that divides 43824 without a remainder.

1, 5, 11, 55, 797, 3985, 8767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43824 and 43835. The biggest common factor number is the GCF number.
So the greatest common factor 43824 and 43835 is 11.

Also check out the Least Common Multiple of 43824 and 43835