What is the Greatest Common Factor of 30915 and 30935?

Greatest common factor (GCF) of 30915 and 30935 is 5.

GCF(30915,30935) = 5

We will now calculate the prime factors of 30915 and 30935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30915 and 30935.

How to find the GCF of 30915 and 30935?

We will first find the prime factorization of 30915 and 30935. After we will calculate the factors of 30915 and 30935 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 30935

Prime factors of 30935 are 5, 23, 269. Prime factorization of 30935 in exponential form is:

30935 = 5¹ × 23¹ × 269¹

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 30935

List of positive integer factors of 30935 that divides 30915 without a remainder.

1, 5, 23, 115, 269, 1345, 6187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30915 and 30935. The biggest common factor number is the GCF number.
So the greatest common factor 30915 and 30935 is 5.

Also check out the Least Common Multiple of 30915 and 30935