What is the Greatest Common Factor of 1280 and 1297?

Greatest common factor (GCF) of 1280 and 1297 is 1.

GCF(1280,1297) = 1

We will now calculate the prime factors of 1280 and 1297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1280 and 1297.

How to find the GCF of 1280 and 1297?

We will first find the prime factorization of 1280 and 1297. After we will calculate the factors of 1280 and 1297 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 1297

Prime factors of 1297 are 1297. Prime factorization of 1297 in exponential form is:

1297 = 1297¹

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 1297

List of positive integer factors of 1297 that divides 1280 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1280 and 1297. The biggest common factor number is the GCF number.
So the greatest common factor 1280 and 1297 is 1.

Also check out the Least Common Multiple of 1280 and 1297