What is the Greatest Common Factor of 1296 and 1313?

Greatest common factor (GCF) of 1296 and 1313 is 1.

GCF(1296,1313) = 1

We will now calculate the prime factors of 1296 and 1313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1296 and 1313.

How to find the GCF of 1296 and 1313?

We will first find the prime factorization of 1296 and 1313. After we will calculate the factors of 1296 and 1313 and find the biggest common factor number .

Step-1: Prime Factorization of 1296

Prime factors of 1296 are 2, 3. Prime factorization of 1296 in exponential form is:

1296 = 2⁴ × 3⁴

Step-2: Prime Factorization of 1313

Prime factors of 1313 are 13, 101. Prime factorization of 1313 in exponential form is:

1313 = 13¹ × 101¹

Step-3: Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648

Step-4: Factors of 1313

List of positive integer factors of 1313 that divides 1296 without a remainder.

1, 13, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1296 and 1313. The biggest common factor number is the GCF number.
So the greatest common factor 1296 and 1313 is 1.

Also check out the Least Common Multiple of 1296 and 1313