What is the Greatest Common Factor of 2430 and 2445?

Greatest common factor (GCF) of 2430 and 2445 is 15.

GCF(2430,2445) = 15

We will now calculate the prime factors of 2430 and 2445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2430 and 2445.

How to find the GCF of 2430 and 2445?

We will first find the prime factorization of 2430 and 2445. After we will calculate the factors of 2430 and 2445 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2445

Prime factors of 2445 are 3, 5, 163. Prime factorization of 2445 in exponential form is:

2445 = 3¹ × 5¹ × 163¹

Step-3: Factors of 2430

List of positive integer factors of 2430 that divides 2430 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

Step-4: Factors of 2445

List of positive integer factors of 2445 that divides 2430 without a remainder.

1, 3, 5, 15, 163, 489, 815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2430 and 2445. The biggest common factor number is the GCF number.
So the greatest common factor 2430 and 2445 is 15.

Also check out the Least Common Multiple of 2430 and 2445