What is the Greatest Common Factor of 30405 and 30415?

Greatest common factor (GCF) of 30405 and 30415 is 5.

GCF(30405,30415) = 5

We will now calculate the prime factors of 30405 and 30415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30405 and 30415.

How to find the GCF of 30405 and 30415?

We will first find the prime factorization of 30405 and 30415. After we will calculate the factors of 30405 and 30415 and find the biggest common factor number .

Step-1: Prime Factorization of 30405

Prime factors of 30405 are 3, 5, 2027. Prime factorization of 30405 in exponential form is:

30405 = 3¹ × 5¹ × 2027¹

Step-2: Prime Factorization of 30415

Prime factors of 30415 are 5, 7, 11, 79. Prime factorization of 30415 in exponential form is:

30415 = 5¹ × 7¹ × 11¹ × 79¹

Step-3: Factors of 30405

List of positive integer factors of 30405 that divides 30405 without a remainder.

1, 3, 5, 15, 2027, 6081, 10135

Step-4: Factors of 30415

List of positive integer factors of 30415 that divides 30405 without a remainder.

1, 5, 7, 11, 35, 55, 77, 79, 385, 395, 553, 869, 2765, 4345, 6083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30405 and 30415. The biggest common factor number is the GCF number.
So the greatest common factor 30405 and 30415 is 5.

Also check out the Least Common Multiple of 30405 and 30415