What is the Greatest Common Factor of 76554 and 76566?

Greatest common factor (GCF) of 76554 and 76566 is 6.

GCF(76554,76566) = 6

We will now calculate the prime factors of 76554 and 76566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76554 and 76566.

How to find the GCF of 76554 and 76566?

We will first find the prime factorization of 76554 and 76566. After we will calculate the factors of 76554 and 76566 and find the biggest common factor number .

Step-1: Prime Factorization of 76554

Prime factors of 76554 are 2, 3, 4253. Prime factorization of 76554 in exponential form is:

76554 = 2¹ × 3² × 4253¹

Step-2: 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-3: Factors of 76554

List of positive integer factors of 76554 that divides 76554 without a remainder.

1, 2, 3, 6, 9, 18, 4253, 8506, 12759, 25518, 38277

Step-4: Factors of 76566

List of positive integer factors of 76566 that divides 76554 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76554 and 76566. The biggest common factor number is the GCF number.
So the greatest common factor 76554 and 76566 is 6.

Also check out the Least Common Multiple of 76554 and 76566