What is the Greatest Common Factor of 2415 and 2430?

Greatest common factor (GCF) of 2415 and 2430 is 15.

GCF(2415,2430) = 15

We will now calculate the prime factors of 2415 and 2430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2415 and 2430.

How to find the GCF of 2415 and 2430?

We will first find the prime factorization of 2415 and 2430. After we will calculate the factors of 2415 and 2430 and find the biggest common factor number .

Step-1: Prime Factorization of 2415

Prime factors of 2415 are 3, 5, 7, 23. Prime factorization of 2415 in exponential form is:

2415 = 3¹ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 2430

Prime factors of 2430 are 2, 3, 5. Prime factorization of 2430 in exponential form is:

2430 = 2¹ × 3⁵ × 5¹

Step-3: Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805

Step-4: Factors of 2430

List of positive integer factors of 2430 that divides 2415 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2415 and 2430. The biggest common factor number is the GCF number.
So the greatest common factor 2415 and 2430 is 15.

Also check out the Least Common Multiple of 2415 and 2430