What is the Greatest Common Factor of 30561 and 30578?

Greatest common factor (GCF) of 30561 and 30578 is 1.

GCF(30561,30578) = 1

We will now calculate the prime factors of 30561 and 30578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30561 and 30578.

How to find the GCF of 30561 and 30578?

We will first find the prime factorization of 30561 and 30578. After we will calculate the factors of 30561 and 30578 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 30578

Prime factors of 30578 are 2, 15289. Prime factorization of 30578 in exponential form is:

30578 = 2¹ × 15289¹

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 30578

List of positive integer factors of 30578 that divides 30561 without a remainder.

1, 2, 15289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30561 and 30578. The biggest common factor number is the GCF number.
So the greatest common factor 30561 and 30578 is 1.

Also check out the Least Common Multiple of 30561 and 30578