What is the Greatest Common Factor of 30561 and 30571?

Greatest common factor (GCF) of 30561 and 30571 is 1.

GCF(30561,30571) = 1

We will now calculate the prime factors of 30561 and 30571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30561 and 30571.

How to find the GCF of 30561 and 30571?

We will first find the prime factorization of 30561 and 30571. After we will calculate the factors of 30561 and 30571 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30571

Prime factors of 30571 are 19, 1609. Prime factorization of 30571 in exponential form is:

30571 = 19¹ × 1609¹

Step-3: Factors of 30561

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

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

Step-4: Factors of 30571

List of positive integer factors of 30571 that divides 30561 without a remainder.

1, 19, 1609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30561 and 30571. The biggest common factor number is the GCF number.
So the greatest common factor 30561 and 30571 is 1.

Also check out the Least Common Multiple of 30561 and 30571