What is the Greatest Common Factor of 30981 and 30991?

Greatest common factor (GCF) of 30981 and 30991 is 1.

GCF(30981,30991) = 1

We will now calculate the prime factors of 30981 and 30991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30981 and 30991.

How to find the GCF of 30981 and 30991?

We will first find the prime factorization of 30981 and 30991. After we will calculate the factors of 30981 and 30991 and find the biggest common factor number .

Step-1: Prime Factorization of 30981

Prime factors of 30981 are 3, 23, 449. Prime factorization of 30981 in exponential form is:

30981 = 3¹ × 23¹ × 449¹

Step-2: Prime Factorization of 30991

Prime factors of 30991 are 17, 1823. Prime factorization of 30991 in exponential form is:

30991 = 17¹ × 1823¹

Step-3: Factors of 30981

List of positive integer factors of 30981 that divides 30981 without a remainder.

1, 3, 23, 69, 449, 1347, 10327

Step-4: Factors of 30991

List of positive integer factors of 30991 that divides 30981 without a remainder.

1, 17, 1823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30981 and 30991. The biggest common factor number is the GCF number.
So the greatest common factor 30981 and 30991 is 1.

Also check out the Least Common Multiple of 30981 and 30991