What is the Greatest Common Factor of 13277 and 13294?

Greatest common factor (GCF) of 13277 and 13294 is 17.

GCF(13277,13294) = 17

We will now calculate the prime factors of 13277 and 13294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13277 and 13294.

How to find the GCF of 13277 and 13294?

We will first find the prime factorization of 13277 and 13294. After we will calculate the factors of 13277 and 13294 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 13294

Prime factors of 13294 are 2, 17, 23. Prime factorization of 13294 in exponential form is:

13294 = 2¹ × 17² × 23¹

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 13294

List of positive integer factors of 13294 that divides 13277 without a remainder.

1, 2, 17, 23, 34, 46, 289, 391, 578, 782, 6647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13277 and 13294. The biggest common factor number is the GCF number.
So the greatest common factor 13277 and 13294 is 17.

Also check out the Least Common Multiple of 13277 and 13294