What is the Greatest Common Factor of 76866 and 76872?

Greatest common factor (GCF) of 76866 and 76872 is 6.

GCF(76866,76872) = 6

We will now calculate the prime factors of 76866 and 76872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76866 and 76872.

How to find the GCF of 76866 and 76872?

We will first find the prime factorization of 76866 and 76872. After we will calculate the factors of 76866 and 76872 and find the biggest common factor number .

Step-1: Prime Factorization of 76866

Prime factors of 76866 are 2, 3, 23, 557. Prime factorization of 76866 in exponential form is:

76866 = 2¹ × 3¹ × 23¹ × 557¹

Step-2: Prime Factorization of 76872

Prime factors of 76872 are 2, 3, 3203. Prime factorization of 76872 in exponential form is:

76872 = 2³ × 3¹ × 3203¹

Step-3: Factors of 76866

List of positive integer factors of 76866 that divides 76866 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 557, 1114, 1671, 3342, 12811, 25622, 38433

Step-4: Factors of 76872

List of positive integer factors of 76872 that divides 76866 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3203, 6406, 9609, 12812, 19218, 25624, 38436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76866 and 76872. The biggest common factor number is the GCF number.
So the greatest common factor 76866 and 76872 is 6.

Also check out the Least Common Multiple of 76866 and 76872