What is the Greatest Common Factor of 1333 and 1344?

Greatest common factor (GCF) of 1333 and 1344 is 1.

GCF(1333,1344) = 1

We will now calculate the prime factors of 1333 and 1344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1333 and 1344.

How to find the GCF of 1333 and 1344?

We will first find the prime factorization of 1333 and 1344. After we will calculate the factors of 1333 and 1344 and find the biggest common factor number .

Step-1: Prime Factorization of 1333

Prime factors of 1333 are 31, 43. Prime factorization of 1333 in exponential form is:

1333 = 31¹ × 43¹

Step-2: Prime Factorization of 1344

Prime factors of 1344 are 2, 3, 7. Prime factorization of 1344 in exponential form is:

1344 = 2⁶ × 3¹ × 7¹

Step-3: Factors of 1333

List of positive integer factors of 1333 that divides 1333 without a remainder.

1, 31, 43

Step-4: Factors of 1344

List of positive integer factors of 1344 that divides 1333 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1333 and 1344. The biggest common factor number is the GCF number.
So the greatest common factor 1333 and 1344 is 1.

Also check out the Least Common Multiple of 1333 and 1344