What is the Greatest Common Factor of 76566 and 76572?

Greatest common factor (GCF) of 76566 and 76572 is 6.

GCF(76566,76572) = 6

We will now calculate the prime factors of 76566 and 76572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76566 and 76572.

How to find the GCF of 76566 and 76572?

We will first find the prime factorization of 76566 and 76572. After we will calculate the factors of 76566 and 76572 and find the biggest common factor number .

Step-1: Prime Factorization of 76566

Prime factors of 76566 are 2, 3, 7, 1823. Prime factorization of 76566 in exponential form is:

76566 = 2¹ × 3¹ × 7¹ × 1823¹

Step-2: Prime Factorization of 76572

Prime factors of 76572 are 2, 3, 709. Prime factorization of 76572 in exponential form is:

76572 = 2² × 3³ × 709¹

Step-3: Factors of 76566

List of positive integer factors of 76566 that divides 76566 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1823, 3646, 5469, 10938, 12761, 25522, 38283

Step-4: Factors of 76572

List of positive integer factors of 76572 that divides 76566 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 709, 1418, 2127, 2836, 4254, 6381, 8508, 12762, 19143, 25524, 38286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76566 and 76572. The biggest common factor number is the GCF number.
So the greatest common factor 76566 and 76572 is 6.

Also check out the Least Common Multiple of 76566 and 76572