What is the Greatest Common Factor of 30906 and 30921?

Greatest common factor (GCF) of 30906 and 30921 is 3.

GCF(30906,30921) = 3

We will now calculate the prime factors of 30906 and 30921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30906 and 30921.

How to find the GCF of 30906 and 30921?

We will first find the prime factorization of 30906 and 30921. After we will calculate the factors of 30906 and 30921 and find the biggest common factor number .

Step-1: Prime Factorization of 30906

Prime factors of 30906 are 2, 3, 17, 101. Prime factorization of 30906 in exponential form is:

30906 = 2¹ × 3² × 17¹ × 101¹

Step-2: Prime Factorization of 30921

Prime factors of 30921 are 3, 11, 937. Prime factorization of 30921 in exponential form is:

30921 = 3¹ × 11¹ × 937¹

Step-3: Factors of 30906

List of positive integer factors of 30906 that divides 30906 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 101, 102, 153, 202, 303, 306, 606, 909, 1717, 1818, 3434, 5151, 10302, 15453

Step-4: Factors of 30921

List of positive integer factors of 30921 that divides 30906 without a remainder.

1, 3, 11, 33, 937, 2811, 10307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30906 and 30921. The biggest common factor number is the GCF number.
So the greatest common factor 30906 and 30921 is 3.

Also check out the Least Common Multiple of 30906 and 30921