What is the Greatest Common Factor of 13428 and 13442?

Greatest common factor (GCF) of 13428 and 13442 is 2.

GCF(13428,13442) = 2

We will now calculate the prime factors of 13428 and 13442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13428 and 13442.

How to find the GCF of 13428 and 13442?

We will first find the prime factorization of 13428 and 13442. After we will calculate the factors of 13428 and 13442 and find the biggest common factor number .

Step-1: Prime Factorization of 13428

Prime factors of 13428 are 2, 3, 373. Prime factorization of 13428 in exponential form is:

13428 = 2² × 3² × 373¹

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 13428

List of positive integer factors of 13428 that divides 13428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 373, 746, 1119, 1492, 2238, 3357, 4476, 6714

Step-4: Factors of 13442

List of positive integer factors of 13442 that divides 13428 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 13428 and 13442. The biggest common factor number is the GCF number.
So the greatest common factor 13428 and 13442 is 2.

Also check out the Least Common Multiple of 13428 and 13442