What is the Greatest Common Factor of 2430 and 2438?

Greatest common factor (GCF) of 2430 and 2438 is 2.

GCF(2430,2438) = 2

We will now calculate the prime factors of 2430 and 2438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2430 and 2438.

How to find the GCF of 2430 and 2438?

We will first find the prime factorization of 2430 and 2438. After we will calculate the factors of 2430 and 2438 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 2438

Prime factors of 2438 are 2, 23, 53. Prime factorization of 2438 in exponential form is:

2438 = 2¹ × 23¹ × 53¹

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 2438

List of positive integer factors of 2438 that divides 2430 without a remainder.

1, 2, 23, 46, 53, 106, 1219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2430 and 2438. The biggest common factor number is the GCF number.
So the greatest common factor 2430 and 2438 is 2.

Also check out the Least Common Multiple of 2430 and 2438