What is the Greatest Common Factor of 2438 and 2442?

Greatest common factor (GCF) of 2438 and 2442 is 2.

GCF(2438,2442) = 2

We will now calculate the prime factors of 2438 and 2442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2438 and 2442.

How to find the GCF of 2438 and 2442?

We will first find the prime factorization of 2438 and 2442. After we will calculate the factors of 2438 and 2442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2442

Prime factors of 2442 are 2, 3, 11, 37. Prime factorization of 2442 in exponential form is:

2442 = 2¹ × 3¹ × 11¹ × 37¹

Step-3: Factors of 2438

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

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

Step-4: Factors of 2442

List of positive integer factors of 2442 that divides 2438 without a remainder.

1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2438 and 2442. The biggest common factor number is the GCF number.
So the greatest common factor 2438 and 2442 is 2.

Also check out the Least Common Multiple of 2438 and 2442