What is the Greatest Common Factor of 30802 and 30815?

Greatest common factor (GCF) of 30802 and 30815 is 1.

GCF(30802,30815) = 1

We will now calculate the prime factors of 30802 and 30815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30802 and 30815.

How to find the GCF of 30802 and 30815?

We will first find the prime factorization of 30802 and 30815. After we will calculate the factors of 30802 and 30815 and find the biggest common factor number .

Step-1: Prime Factorization of 30802

Prime factors of 30802 are 2, 15401. Prime factorization of 30802 in exponential form is:

30802 = 2¹ × 15401¹

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 30802

List of positive integer factors of 30802 that divides 30802 without a remainder.

1, 2, 15401

Step-4: Factors of 30815

List of positive integer factors of 30815 that divides 30802 without a remainder.

1, 5, 6163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30802 and 30815. The biggest common factor number is the GCF number.
So the greatest common factor 30802 and 30815 is 1.

Also check out the Least Common Multiple of 30802 and 30815