What is the Greatest Common Factor of 43779 and 43791?

Greatest common factor (GCF) of 43779 and 43791 is 3.

GCF(43779,43791) = 3

We will now calculate the prime factors of 43779 and 43791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43779 and 43791.

How to find the GCF of 43779 and 43791?

We will first find the prime factorization of 43779 and 43791. After we will calculate the factors of 43779 and 43791 and find the biggest common factor number .

Step-1: Prime Factorization of 43779

Prime factors of 43779 are 3, 14593. Prime factorization of 43779 in exponential form is:

43779 = 3¹ × 14593¹

Step-2: Prime Factorization of 43791

Prime factors of 43791 are 3, 11, 1327. Prime factorization of 43791 in exponential form is:

43791 = 3¹ × 11¹ × 1327¹

Step-3: Factors of 43779

List of positive integer factors of 43779 that divides 43779 without a remainder.

1, 3, 14593

Step-4: Factors of 43791

List of positive integer factors of 43791 that divides 43779 without a remainder.

1, 3, 11, 33, 1327, 3981, 14597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43779 and 43791. The biggest common factor number is the GCF number.
So the greatest common factor 43779 and 43791 is 3.

Also check out the Least Common Multiple of 43779 and 43791