What is the Greatest Common Factor of 30872 and 30881?

Greatest common factor (GCF) of 30872 and 30881 is 1.

GCF(30872,30881) = 1

We will now calculate the prime factors of 30872 and 30881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30872 and 30881.

How to find the GCF of 30872 and 30881?

We will first find the prime factorization of 30872 and 30881. After we will calculate the factors of 30872 and 30881 and find the biggest common factor number .

Step-1: Prime Factorization of 30872

Prime factors of 30872 are 2, 17, 227. Prime factorization of 30872 in exponential form is:

30872 = 2³ × 17¹ × 227¹

Step-2: Prime Factorization of 30881

Prime factors of 30881 are 30881. Prime factorization of 30881 in exponential form is:

30881 = 30881¹

Step-3: Factors of 30872

List of positive integer factors of 30872 that divides 30872 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 227, 454, 908, 1816, 3859, 7718, 15436

Step-4: Factors of 30881

List of positive integer factors of 30881 that divides 30872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30872 and 30881. The biggest common factor number is the GCF number.
So the greatest common factor 30872 and 30881 is 1.

Also check out the Least Common Multiple of 30872 and 30881