What is the Greatest Common Factor of 1324 and 1336?

Greatest common factor (GCF) of 1324 and 1336 is 4.

GCF(1324,1336) = 4

We will now calculate the prime factors of 1324 and 1336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1324 and 1336.

How to find the GCF of 1324 and 1336?

We will first find the prime factorization of 1324 and 1336. After we will calculate the factors of 1324 and 1336 and find the biggest common factor number .

Step-1: Prime Factorization of 1324

Prime factors of 1324 are 2, 331. Prime factorization of 1324 in exponential form is:

1324 = 2² × 331¹

Step-2: Prime Factorization of 1336

Prime factors of 1336 are 2, 167. Prime factorization of 1336 in exponential form is:

1336 = 2³ × 167¹

Step-3: Factors of 1324

List of positive integer factors of 1324 that divides 1324 without a remainder.

1, 2, 4, 331, 662

Step-4: Factors of 1336

List of positive integer factors of 1336 that divides 1324 without a remainder.

1, 2, 4, 8, 167, 334, 668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1324 and 1336. The biggest common factor number is the GCF number.
So the greatest common factor 1324 and 1336 is 4.

Also check out the Least Common Multiple of 1324 and 1336