What is the Greatest Common Factor of 1280 and 1296?

Greatest common factor (GCF) of 1280 and 1296 is 16.

GCF(1280,1296) = 16

We will now calculate the prime factors of 1280 and 1296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1280 and 1296.

How to find the GCF of 1280 and 1296?

We will first find the prime factorization of 1280 and 1296. After we will calculate the factors of 1280 and 1296 and find the biggest common factor number .

Step-1: Prime Factorization of 1280

Prime factors of 1280 are 2, 5. Prime factorization of 1280 in exponential form is:

1280 = 2⁸ × 5¹

Step-2: Prime Factorization of 1296

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

1296 = 2⁴ × 3⁴

Step-3: Factors of 1280

List of positive integer factors of 1280 that divides 1280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640

Step-4: Factors of 1296

List of positive integer factors of 1296 that divides 1280 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1280 and 1296. The biggest common factor number is the GCF number.
So the greatest common factor 1280 and 1296 is 16.

Also check out the Least Common Multiple of 1280 and 1296