What is the Greatest Common Factor of 43797 and 43803?

Greatest common factor (GCF) of 43797 and 43803 is 3.

GCF(43797,43803) = 3

We will now calculate the prime factors of 43797 and 43803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43797 and 43803.

How to find the GCF of 43797 and 43803?

We will first find the prime factorization of 43797 and 43803. After we will calculate the factors of 43797 and 43803 and find the biggest common factor number .

Step-1: Prime Factorization of 43797

Prime factors of 43797 are 3, 13, 1123. Prime factorization of 43797 in exponential form is:

43797 = 3¹ × 13¹ × 1123¹

Step-2: 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-3: Factors of 43797

List of positive integer factors of 43797 that divides 43797 without a remainder.

1, 3, 13, 39, 1123, 3369, 14599

Step-4: Factors of 43803

List of positive integer factors of 43803 that divides 43797 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43797 and 43803. The biggest common factor number is the GCF number.
So the greatest common factor 43797 and 43803 is 3.

Also check out the Least Common Multiple of 43797 and 43803