What is the Greatest Common Factor of 30981 and 30996?

Greatest common factor (GCF) of 30981 and 30996 is 3.

GCF(30981,30996) = 3

We will now calculate the prime factors of 30981 and 30996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30981 and 30996.

How to find the GCF of 30981 and 30996?

We will first find the prime factorization of 30981 and 30996. After we will calculate the factors of 30981 and 30996 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 30996

Prime factors of 30996 are 2, 3, 7, 41. Prime factorization of 30996 in exponential form is:

30996 = 2² × 3³ × 7¹ × 41¹

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 30996

List of positive integer factors of 30996 that divides 30981 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 41, 42, 54, 63, 82, 84, 108, 123, 126, 164, 189, 246, 252, 287, 369, 378, 492, 574, 738, 756, 861, 1107, 1148, 1476, 1722, 2214, 2583, 3444, 4428, 5166, 7749, 10332, 15498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30981 and 30996. The biggest common factor number is the GCF number.
So the greatest common factor 30981 and 30996 is 3.

Also check out the Least Common Multiple of 30981 and 30996