What is the Greatest Common Factor of 1297 and 1304?

Greatest common factor (GCF) of 1297 and 1304 is 1.

GCF(1297,1304) = 1

We will now calculate the prime factors of 1297 and 1304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1297 and 1304.

How to find the GCF of 1297 and 1304?

We will first find the prime factorization of 1297 and 1304. After we will calculate the factors of 1297 and 1304 and find the biggest common factor number .

Step-1: Prime Factorization of 1297

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

1297 = 1297¹

Step-2: Prime Factorization of 1304

Prime factors of 1304 are 2, 163. Prime factorization of 1304 in exponential form is:

1304 = 2³ × 163¹

Step-3: Factors of 1297

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

Step-4: Factors of 1304

List of positive integer factors of 1304 that divides 1297 without a remainder.

1, 2, 4, 8, 163, 326, 652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1297 and 1304. The biggest common factor number is the GCF number.
So the greatest common factor 1297 and 1304 is 1.

Also check out the Least Common Multiple of 1297 and 1304