What is the Greatest Common Factor of 1271 and 1291?

Greatest common factor (GCF) of 1271 and 1291 is 1.

GCF(1271,1291) = 1

We will now calculate the prime factors of 1271 and 1291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1271 and 1291.

How to find the GCF of 1271 and 1291?

We will first find the prime factorization of 1271 and 1291. After we will calculate the factors of 1271 and 1291 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 1291

Prime factors of 1291 are 1291. Prime factorization of 1291 in exponential form is:

1291 = 1291¹

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 1291

List of positive integer factors of 1291 that divides 1271 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1271 and 1291. The biggest common factor number is the GCF number.
So the greatest common factor 1271 and 1291 is 1.

Also check out the Least Common Multiple of 1271 and 1291