What is the Greatest Common Factor of 1288 and 1297?

Greatest common factor (GCF) of 1288 and 1297 is 1.

GCF(1288,1297) = 1

We will now calculate the prime factors of 1288 and 1297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1288 and 1297.

How to find the GCF of 1288 and 1297?

We will first find the prime factorization of 1288 and 1297. After we will calculate the factors of 1288 and 1297 and find the biggest common factor number .

Step-1: Prime Factorization of 1288

Prime factors of 1288 are 2, 7, 23. Prime factorization of 1288 in exponential form is:

1288 = 2³ × 7¹ × 23¹

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 1288

List of positive integer factors of 1288 that divides 1288 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644

Step-4: Factors of 1297

List of positive integer factors of 1297 that divides 1288 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1288 and 1297. The biggest common factor number is the GCF number.
So the greatest common factor 1288 and 1297 is 1.

Also check out the Least Common Multiple of 1288 and 1297