What is the Greatest Common Factor of 1328 and 1342?

Greatest common factor (GCF) of 1328 and 1342 is 2.

GCF(1328,1342) = 2

We will now calculate the prime factors of 1328 and 1342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1328 and 1342.

How to find the GCF of 1328 and 1342?

We will first find the prime factorization of 1328 and 1342. After we will calculate the factors of 1328 and 1342 and find the biggest common factor number .

Step-1: Prime Factorization of 1328

Prime factors of 1328 are 2, 83. Prime factorization of 1328 in exponential form is:

1328 = 2⁴ × 83¹

Step-2: Prime Factorization of 1342

Prime factors of 1342 are 2, 11, 61. Prime factorization of 1342 in exponential form is:

1342 = 2¹ × 11¹ × 61¹

Step-3: Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1, 2, 4, 8, 16, 83, 166, 332, 664

Step-4: Factors of 1342

List of positive integer factors of 1342 that divides 1328 without a remainder.

1, 2, 11, 22, 61, 122, 671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1328 and 1342. The biggest common factor number is the GCF number.
So the greatest common factor 1328 and 1342 is 2.

Also check out the Least Common Multiple of 1328 and 1342