What is the Greatest Common Factor of 30546 and 30561?

Greatest common factor (GCF) of 30546 and 30561 is 3.

GCF(30546,30561) = 3

We will now calculate the prime factors of 30546 and 30561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30546 and 30561.

How to find the GCF of 30546 and 30561?

We will first find the prime factorization of 30546 and 30561. After we will calculate the factors of 30546 and 30561 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 30561

Prime factors of 30561 are 3, 61, 167. Prime factorization of 30561 in exponential form is:

30561 = 3¹ × 61¹ × 167¹

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 30561

List of positive integer factors of 30561 that divides 30546 without a remainder.

1, 3, 61, 167, 183, 501, 10187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30546 and 30561. The biggest common factor number is the GCF number.
So the greatest common factor 30546 and 30561 is 3.

Also check out the Least Common Multiple of 30546 and 30561