What is the Greatest Common Factor of 30861 and 30873?

Greatest common factor (GCF) of 30861 and 30873 is 3.

GCF(30861,30873) = 3

We will now calculate the prime factors of 30861 and 30873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30861 and 30873.

How to find the GCF of 30861 and 30873?

We will first find the prime factorization of 30861 and 30873. After we will calculate the factors of 30861 and 30873 and find the biggest common factor number .

Step-1: Prime Factorization of 30861

Prime factors of 30861 are 3, 127. Prime factorization of 30861 in exponential form is:

30861 = 3⁵ × 127¹

Step-2: Prime Factorization of 30873

Prime factors of 30873 are 3, 41, 251. Prime factorization of 30873 in exponential form is:

30873 = 3¹ × 41¹ × 251¹

Step-3: Factors of 30861

List of positive integer factors of 30861 that divides 30861 without a remainder.

1, 3, 9, 27, 81, 127, 243, 381, 1143, 3429, 10287

Step-4: Factors of 30873

List of positive integer factors of 30873 that divides 30861 without a remainder.

1, 3, 41, 123, 251, 753, 10291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30861 and 30873. The biggest common factor number is the GCF number.
So the greatest common factor 30861 and 30873 is 3.

Also check out the Least Common Multiple of 30861 and 30873