What is the Greatest Common Factor of 43803 and 43821?

Greatest common factor (GCF) of 43803 and 43821 is 9.

GCF(43803,43821) = 9

We will now calculate the prime factors of 43803 and 43821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43803 and 43821.

How to find the GCF of 43803 and 43821?

We will first find the prime factorization of 43803 and 43821. After we will calculate the factors of 43803 and 43821 and find the biggest common factor number .

Step-1: Prime Factorization of 43803

Prime factors of 43803 are 3, 31, 157. Prime factorization of 43803 in exponential form is:

43803 = 3² × 31¹ × 157¹

Step-2: Prime Factorization of 43821

Prime factors of 43821 are 3, 541. Prime factorization of 43821 in exponential form is:

43821 = 3⁴ × 541¹

Step-3: Factors of 43803

List of positive integer factors of 43803 that divides 43803 without a remainder.

1, 3, 9, 31, 93, 157, 279, 471, 1413, 4867, 14601

Step-4: Factors of 43821

List of positive integer factors of 43821 that divides 43803 without a remainder.

1, 3, 9, 27, 81, 541, 1623, 4869, 14607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43803 and 43821. The biggest common factor number is the GCF number.
So the greatest common factor 43803 and 43821 is 9.

Also check out the Least Common Multiple of 43803 and 43821