What is the Greatest Common Factor of 13431 and 13442?

Greatest common factor (GCF) of 13431 and 13442 is 11.

GCF(13431,13442) = 11

We will now calculate the prime factors of 13431 and 13442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13431 and 13442.

How to find the GCF of 13431 and 13442?

We will first find the prime factorization of 13431 and 13442. After we will calculate the factors of 13431 and 13442 and find the biggest common factor number .

Step-1: Prime Factorization of 13431

Prime factors of 13431 are 3, 11, 37. Prime factorization of 13431 in exponential form is:

13431 = 3¹ × 11² × 37¹

Step-2: Prime Factorization of 13442

Prime factors of 13442 are 2, 11, 13, 47. Prime factorization of 13442 in exponential form is:

13442 = 2¹ × 11¹ × 13¹ × 47¹

Step-3: Factors of 13431

List of positive integer factors of 13431 that divides 13431 without a remainder.

1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477

Step-4: Factors of 13442

List of positive integer factors of 13442 that divides 13431 without a remainder.

1, 2, 11, 13, 22, 26, 47, 94, 143, 286, 517, 611, 1034, 1222, 6721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13431 and 13442. The biggest common factor number is the GCF number.
So the greatest common factor 13431 and 13442 is 11.

Also check out the Least Common Multiple of 13431 and 13442