What is the Greatest Common Factor of 30969 and 30981?

Greatest common factor (GCF) of 30969 and 30981 is 3.

GCF(30969,30981) = 3

We will now calculate the prime factors of 30969 and 30981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30969 and 30981.

How to find the GCF of 30969 and 30981?

We will first find the prime factorization of 30969 and 30981. After we will calculate the factors of 30969 and 30981 and find the biggest common factor number .

Step-1: Prime Factorization of 30969

Prime factors of 30969 are 3, 31, 37. Prime factorization of 30969 in exponential form is:

30969 = 3³ × 31¹ × 37¹

Step-2: 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-3: Factors of 30969

List of positive integer factors of 30969 that divides 30969 without a remainder.

1, 3, 9, 27, 31, 37, 93, 111, 279, 333, 837, 999, 1147, 3441, 10323

Step-4: Factors of 30981

List of positive integer factors of 30981 that divides 30969 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30969 and 30981. The biggest common factor number is the GCF number.
So the greatest common factor 30969 and 30981 is 3.

Also check out the Least Common Multiple of 30969 and 30981