What is the Greatest Common Factor of 30546 and 30564?

Greatest common factor (GCF) of 30546 and 30564 is 18.

GCF(30546,30564) = 18

We will now calculate the prime factors of 30546 and 30564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30546 and 30564.

How to find the GCF of 30546 and 30564?

We will first find the prime factorization of 30546 and 30564. After we will calculate the factors of 30546 and 30564 and find the biggest common factor number .

Step-1: Prime Factorization of 30546

Prime factors of 30546 are 2, 3, 1697. Prime factorization of 30546 in exponential form is:

30546 = 2¹ × 3² × 1697¹

Step-2: Prime Factorization of 30564

Prime factors of 30564 are 2, 3, 283. Prime factorization of 30564 in exponential form is:

30564 = 2² × 3³ × 283¹

Step-3: Factors of 30546

List of positive integer factors of 30546 that divides 30546 without a remainder.

1, 2, 3, 6, 9, 18, 1697, 3394, 5091, 10182, 15273

Step-4: Factors of 30564

List of positive integer factors of 30564 that divides 30546 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 283, 566, 849, 1132, 1698, 2547, 3396, 5094, 7641, 10188, 15282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30546 and 30564. The biggest common factor number is the GCF number.
So the greatest common factor 30546 and 30564 is 18.

Also check out the Least Common Multiple of 30546 and 30564