What is the Greatest Common Factor of 13277 and 13291?

Greatest common factor (GCF) of 13277 and 13291 is 1.

GCF(13277,13291) = 1

We will now calculate the prime factors of 13277 and 13291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13277 and 13291.

How to find the GCF of 13277 and 13291?

We will first find the prime factorization of 13277 and 13291. After we will calculate the factors of 13277 and 13291 and find the biggest common factor number .

Step-1: Prime Factorization of 13277

Prime factors of 13277 are 11, 17, 71. Prime factorization of 13277 in exponential form is:

13277 = 11¹ × 17¹ × 71¹

Step-2: Prime Factorization of 13291

Prime factors of 13291 are 13291. Prime factorization of 13291 in exponential form is:

13291 = 13291¹

Step-3: Factors of 13277

List of positive integer factors of 13277 that divides 13277 without a remainder.

1, 11, 17, 71, 187, 781, 1207

Step-4: Factors of 13291

List of positive integer factors of 13291 that divides 13277 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13277 and 13291. The biggest common factor number is the GCF number.
So the greatest common factor 13277 and 13291 is 1.

Also check out the Least Common Multiple of 13277 and 13291