What is the Greatest Common Factor of 43764 and 43782?

Greatest common factor (GCF) of 43764 and 43782 is 6.

GCF(43764,43782) = 6

We will now calculate the prime factors of 43764 and 43782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43764 and 43782.

How to find the GCF of 43764 and 43782?

We will first find the prime factorization of 43764 and 43782. After we will calculate the factors of 43764 and 43782 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 43782

Prime factors of 43782 are 2, 3, 7297. Prime factorization of 43782 in exponential form is:

43782 = 2¹ × 3¹ × 7297¹

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 43782

List of positive integer factors of 43782 that divides 43764 without a remainder.

1, 2, 3, 6, 7297, 14594, 21891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43764 and 43782. The biggest common factor number is the GCF number.
So the greatest common factor 43764 and 43782 is 6.

Also check out the Least Common Multiple of 43764 and 43782