What is the Greatest Common Factor of 30906 and 30915?

Greatest common factor (GCF) of 30906 and 30915 is 9.

GCF(30906,30915) = 9

We will now calculate the prime factors of 30906 and 30915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30906 and 30915.

How to find the GCF of 30906 and 30915?

We will first find the prime factorization of 30906 and 30915. After we will calculate the factors of 30906 and 30915 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 30915

Prime factors of 30915 are 3, 5, 229. Prime factorization of 30915 in exponential form is:

30915 = 3³ × 5¹ × 229¹

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 30915

List of positive integer factors of 30915 that divides 30906 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 229, 687, 1145, 2061, 3435, 6183, 10305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30906 and 30915. The biggest common factor number is the GCF number.
So the greatest common factor 30906 and 30915 is 9.

Also check out the Least Common Multiple of 30906 and 30915