What is the Greatest Common Factor of 43818 and 43827?

Greatest common factor (GCF) of 43818 and 43827 is 3.

GCF(43818,43827) = 3

We will now calculate the prime factors of 43818 and 43827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43818 and 43827.

How to find the GCF of 43818 and 43827?

We will first find the prime factorization of 43818 and 43827. After we will calculate the factors of 43818 and 43827 and find the biggest common factor number .

Step-1: Prime Factorization of 43818

Prime factors of 43818 are 2, 3, 67, 109. Prime factorization of 43818 in exponential form is:

43818 = 2¹ × 3¹ × 67¹ × 109¹

Step-2: Prime Factorization of 43827

Prime factors of 43827 are 3, 7, 2087. Prime factorization of 43827 in exponential form is:

43827 = 3¹ × 7¹ × 2087¹

Step-3: Factors of 43818

List of positive integer factors of 43818 that divides 43818 without a remainder.

1, 2, 3, 6, 67, 109, 134, 201, 218, 327, 402, 654, 7303, 14606, 21909

Step-4: Factors of 43827

List of positive integer factors of 43827 that divides 43818 without a remainder.

1, 3, 7, 21, 2087, 6261, 14609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43818 and 43827. The biggest common factor number is the GCF number.
So the greatest common factor 43818 and 43827 is 3.

Also check out the Least Common Multiple of 43818 and 43827