What is the Greatest Common Factor of 3564 and 3582?

Greatest common factor (GCF) of 3564 and 3582 is 18.

GCF(3564,3582) = 18

We will now calculate the prime factors of 3564 and 3582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3564 and 3582.

How to find the GCF of 3564 and 3582?

We will first find the prime factorization of 3564 and 3582. After we will calculate the factors of 3564 and 3582 and find the biggest common factor number .

Step-1: Prime Factorization of 3564

Prime factors of 3564 are 2, 3, 11. Prime factorization of 3564 in exponential form is:

3564 = 2² × 3⁴ × 11¹

Step-2: Prime Factorization of 3582

Prime factors of 3582 are 2, 3, 199. Prime factorization of 3582 in exponential form is:

3582 = 2¹ × 3² × 199¹

Step-3: Factors of 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782

Step-4: Factors of 3582

List of positive integer factors of 3582 that divides 3564 without a remainder.

1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3564 and 3582. The biggest common factor number is the GCF number.
So the greatest common factor 3564 and 3582 is 18.

Also check out the Least Common Multiple of 3564 and 3582