What is the Greatest Common Factor of 66564 and 66582?

Greatest common factor (GCF) of 66564 and 66582 is 18.

GCF(66564,66582) = 18

We will now calculate the prime factors of 66564 and 66582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66564 and 66582.

How to find the GCF of 66564 and 66582?

We will first find the prime factorization of 66564 and 66582. After we will calculate the factors of 66564 and 66582 and find the biggest common factor number .

Step-1: Prime Factorization of 66564

Prime factors of 66564 are 2, 3, 43. Prime factorization of 66564 in exponential form is:

66564 = 2² × 3² × 43²

Step-2: Prime Factorization of 66582

Prime factors of 66582 are 2, 3, 137. Prime factorization of 66582 in exponential form is:

66582 = 2¹ × 3⁵ × 137¹

Step-3: Factors of 66564

List of positive integer factors of 66564 that divides 66564 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548, 1849, 3698, 5547, 7396, 11094, 16641, 22188, 33282

Step-4: Factors of 66582

List of positive integer factors of 66582 that divides 66564 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 137, 162, 243, 274, 411, 486, 822, 1233, 2466, 3699, 7398, 11097, 22194, 33291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66564 and 66582. The biggest common factor number is the GCF number.
So the greatest common factor 66564 and 66582 is 18.

Also check out the Least Common Multiple of 66564 and 66582