What is the Greatest Common Factor of 2434 and 2442?

Greatest common factor (GCF) of 2434 and 2442 is 2.

GCF(2434,2442) = 2

We will now calculate the prime factors of 2434 and 2442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2434 and 2442.

How to find the GCF of 2434 and 2442?

We will first find the prime factorization of 2434 and 2442. After we will calculate the factors of 2434 and 2442 and find the biggest common factor number .

Step-1: Prime Factorization of 2434

Prime factors of 2434 are 2, 1217. Prime factorization of 2434 in exponential form is:

2434 = 2¹ × 1217¹

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 2434

List of positive integer factors of 2434 that divides 2434 without a remainder.

1, 2, 1217

Step-4: Factors of 2442

List of positive integer factors of 2442 that divides 2434 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 2434 and 2442. The biggest common factor number is the GCF number.
So the greatest common factor 2434 and 2442 is 2.

Also check out the Least Common Multiple of 2434 and 2442