What is the Greatest Common Factor of 2431 and 2442?

Greatest common factor (GCF) of 2431 and 2442 is 11.

GCF(2431,2442) = 11

We will now calculate the prime factors of 2431 and 2442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2431 and 2442.

How to find the GCF of 2431 and 2442?

We will first find the prime factorization of 2431 and 2442. After we will calculate the factors of 2431 and 2442 and find the biggest common factor number .

Step-1: Prime Factorization of 2431

Prime factors of 2431 are 11, 13, 17. Prime factorization of 2431 in exponential form is:

2431 = 11¹ × 13¹ × 17¹

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 2431

List of positive integer factors of 2431 that divides 2431 without a remainder.

1, 11, 13, 17, 143, 187, 221

Step-4: Factors of 2442

List of positive integer factors of 2442 that divides 2431 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 2431 and 2442. The biggest common factor number is the GCF number.
So the greatest common factor 2431 and 2442 is 11.

Also check out the Least Common Multiple of 2431 and 2442