What is the Greatest Common Factor of 76554 and 76572?

Greatest common factor (GCF) of 76554 and 76572 is 18.

GCF(76554,76572) = 18

We will now calculate the prime factors of 76554 and 76572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76554 and 76572.

How to find the GCF of 76554 and 76572?

We will first find the prime factorization of 76554 and 76572. After we will calculate the factors of 76554 and 76572 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 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 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 76572

List of positive integer factors of 76572 that divides 76554 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 76554 and 76572. The biggest common factor number is the GCF number.
So the greatest common factor 76554 and 76572 is 18.

Also check out the Least Common Multiple of 76554 and 76572