What is the Greatest Common Factor of 1338 and 1352?

Greatest common factor (GCF) of 1338 and 1352 is 2.

GCF(1338,1352) = 2

We will now calculate the prime factors of 1338 and 1352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1338 and 1352.

How to find the GCF of 1338 and 1352?

We will first find the prime factorization of 1338 and 1352. After we will calculate the factors of 1338 and 1352 and find the biggest common factor number .

Step-1: Prime Factorization of 1338

Prime factors of 1338 are 2, 3, 223. Prime factorization of 1338 in exponential form is:

1338 = 2¹ × 3¹ × 223¹

Step-2: Prime Factorization of 1352

Prime factors of 1352 are 2, 13. Prime factorization of 1352 in exponential form is:

1352 = 2³ × 13²

Step-3: Factors of 1338

List of positive integer factors of 1338 that divides 1338 without a remainder.

1, 2, 3, 6, 223, 446, 669

Step-4: Factors of 1352

List of positive integer factors of 1352 that divides 1338 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1338 and 1352. The biggest common factor number is the GCF number.
So the greatest common factor 1338 and 1352 is 2.

Also check out the Least Common Multiple of 1338 and 1352