What is the Greatest Common Factor of 1271 and 1289?

Greatest common factor (GCF) of 1271 and 1289 is 1.

GCF(1271,1289) = 1

We will now calculate the prime factors of 1271 and 1289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1271 and 1289.

How to find the GCF of 1271 and 1289?

We will first find the prime factorization of 1271 and 1289. After we will calculate the factors of 1271 and 1289 and find the biggest common factor number .

Step-1: Prime Factorization of 1271

Prime factors of 1271 are 31, 41. Prime factorization of 1271 in exponential form is:

1271 = 31¹ × 41¹

Step-2: Prime Factorization of 1289

Prime factors of 1289 are 1289. Prime factorization of 1289 in exponential form is:

1289 = 1289¹

Step-3: Factors of 1271

List of positive integer factors of 1271 that divides 1271 without a remainder.

1, 31, 41

Step-4: Factors of 1289

List of positive integer factors of 1289 that divides 1271 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1271 and 1289. The biggest common factor number is the GCF number.
So the greatest common factor 1271 and 1289 is 1.

Also check out the Least Common Multiple of 1271 and 1289