What is the Greatest Common Factor of 30915 and 30927?

Greatest common factor (GCF) of 30915 and 30927 is 3.

GCF(30915,30927) = 3

We will now calculate the prime factors of 30915 and 30927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30915 and 30927.

How to find the GCF of 30915 and 30927?

We will first find the prime factorization of 30915 and 30927. After we will calculate the factors of 30915 and 30927 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30927

Prime factors of 30927 are 3, 13, 61. Prime factorization of 30927 in exponential form is:

30927 = 3¹ × 13² × 61¹

Step-3: Factors of 30915

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

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

Step-4: Factors of 30927

List of positive integer factors of 30927 that divides 30915 without a remainder.

1, 3, 13, 39, 61, 169, 183, 507, 793, 2379, 10309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30915 and 30927. The biggest common factor number is the GCF number.
So the greatest common factor 30915 and 30927 is 3.

Also check out the Least Common Multiple of 30915 and 30927