What is the Greatest Common Factor of 43764 and 43779?

Greatest common factor (GCF) of 43764 and 43779 is 3.

GCF(43764,43779) = 3

We will now calculate the prime factors of 43764 and 43779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43764 and 43779.

How to find the GCF of 43764 and 43779?

We will first find the prime factorization of 43764 and 43779. After we will calculate the factors of 43764 and 43779 and find the biggest common factor number .

Step-1: Prime Factorization of 43764

Prime factors of 43764 are 2, 3, 7, 521. Prime factorization of 43764 in exponential form is:

43764 = 2² × 3¹ × 7¹ × 521¹

Step-2: Prime Factorization of 43779

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

43779 = 3¹ × 14593¹

Step-3: Factors of 43764

List of positive integer factors of 43764 that divides 43764 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 521, 1042, 1563, 2084, 3126, 3647, 6252, 7294, 10941, 14588, 21882

Step-4: Factors of 43779

List of positive integer factors of 43779 that divides 43764 without a remainder.

1, 3, 14593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43764 and 43779. The biggest common factor number is the GCF number.
So the greatest common factor 43764 and 43779 is 3.

Also check out the Least Common Multiple of 43764 and 43779