What is the Greatest Common Factor of 1314 and 1324?

Greatest common factor (GCF) of 1314 and 1324 is 2.

GCF(1314,1324) = 2

We will now calculate the prime factors of 1314 and 1324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1314 and 1324.

How to find the GCF of 1314 and 1324?

We will first find the prime factorization of 1314 and 1324. After we will calculate the factors of 1314 and 1324 and find the biggest common factor number .

Step-1: Prime Factorization of 1314

Prime factors of 1314 are 2, 3, 73. Prime factorization of 1314 in exponential form is:

1314 = 2¹ × 3² × 73¹

Step-2: Prime Factorization of 1324

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

1324 = 2² × 331¹

Step-3: Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657

Step-4: Factors of 1324

List of positive integer factors of 1324 that divides 1314 without a remainder.

1, 2, 4, 331, 662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1314 and 1324. The biggest common factor number is the GCF number.
So the greatest common factor 1314 and 1324 is 2.

Also check out the Least Common Multiple of 1314 and 1324