What is the Greatest Common Factor of 30981 and 30992?

Greatest common factor (GCF) of 30981 and 30992 is 1.

GCF(30981,30992) = 1

We will now calculate the prime factors of 30981 and 30992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30981 and 30992.

How to find the GCF of 30981 and 30992?

We will first find the prime factorization of 30981 and 30992. After we will calculate the factors of 30981 and 30992 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 30992

Prime factors of 30992 are 2, 13, 149. Prime factorization of 30992 in exponential form is:

30992 = 2⁴ × 13¹ × 149¹

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 30992

List of positive integer factors of 30992 that divides 30981 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 149, 208, 298, 596, 1192, 1937, 2384, 3874, 7748, 15496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30981 and 30992. The biggest common factor number is the GCF number.
So the greatest common factor 30981 and 30992 is 1.

Also check out the Least Common Multiple of 30981 and 30992