What is the Greatest Common Factor of 30795 and 30815?

Greatest common factor (GCF) of 30795 and 30815 is 5.

GCF(30795,30815) = 5

We will now calculate the prime factors of 30795 and 30815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30795 and 30815.

How to find the GCF of 30795 and 30815?

We will first find the prime factorization of 30795 and 30815. After we will calculate the factors of 30795 and 30815 and find the biggest common factor number .

Step-1: Prime Factorization of 30795

Prime factors of 30795 are 3, 5, 2053. Prime factorization of 30795 in exponential form is:

30795 = 3¹ × 5¹ × 2053¹

Step-2: Prime Factorization of 30815

Prime factors of 30815 are 5, 6163. Prime factorization of 30815 in exponential form is:

30815 = 5¹ × 6163¹

Step-3: Factors of 30795

List of positive integer factors of 30795 that divides 30795 without a remainder.

1, 3, 5, 15, 2053, 6159, 10265

Step-4: Factors of 30815

List of positive integer factors of 30815 that divides 30795 without a remainder.

1, 5, 6163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30795 and 30815. The biggest common factor number is the GCF number.
So the greatest common factor 30795 and 30815 is 5.

Also check out the Least Common Multiple of 30795 and 30815