What is the Greatest Common Factor of 30870 and 30881?

Greatest common factor (GCF) of 30870 and 30881 is 1.

GCF(30870,30881) = 1

We will now calculate the prime factors of 30870 and 30881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30870 and 30881.

How to find the GCF of 30870 and 30881?

We will first find the prime factorization of 30870 and 30881. After we will calculate the factors of 30870 and 30881 and find the biggest common factor number .

Step-1: Prime Factorization of 30870

Prime factors of 30870 are 2, 3, 5, 7. Prime factorization of 30870 in exponential form is:

30870 = 2¹ × 3² × 5¹ × 7³

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 30870

List of positive integer factors of 30870 that divides 30870 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 343, 441, 490, 630, 686, 735, 882, 1029, 1470, 1715, 2058, 2205, 3087, 3430, 4410, 5145, 6174, 10290, 15435

Step-4: Factors of 30881

List of positive integer factors of 30881 that divides 30870 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30870 and 30881. The biggest common factor number is the GCF number.
So the greatest common factor 30870 and 30881 is 1.

Also check out the Least Common Multiple of 30870 and 30881