What is the Greatest Common Factor of 30531 and 30546?

Greatest common factor (GCF) of 30531 and 30546 is 3.

GCF(30531,30546) = 3

We will now calculate the prime factors of 30531 and 30546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30531 and 30546.

How to find the GCF of 30531 and 30546?

We will first find the prime factorization of 30531 and 30546. After we will calculate the factors of 30531 and 30546 and find the biggest common factor number .

Step-1: Prime Factorization of 30531

Prime factors of 30531 are 3, 10177. Prime factorization of 30531 in exponential form is:

30531 = 3¹ × 10177¹

Step-2: 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-3: Factors of 30531

List of positive integer factors of 30531 that divides 30531 without a remainder.

1, 3, 10177

Step-4: Factors of 30546

List of positive integer factors of 30546 that divides 30531 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30531 and 30546. The biggest common factor number is the GCF number.
So the greatest common factor 30531 and 30546 is 3.

Also check out the Least Common Multiple of 30531 and 30546