What is the Greatest Common Factor of 13266 and 13277?

Greatest common factor (GCF) of 13266 and 13277 is 11.

GCF(13266,13277) = 11

We will now calculate the prime factors of 13266 and 13277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13266 and 13277.

How to find the GCF of 13266 and 13277?

We will first find the prime factorization of 13266 and 13277. After we will calculate the factors of 13266 and 13277 and find the biggest common factor number .

Step-1: Prime Factorization of 13266

Prime factors of 13266 are 2, 3, 11, 67. Prime factorization of 13266 in exponential form is:

13266 = 2¹ × 3² × 11¹ × 67¹

Step-2: 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-3: Factors of 13266

List of positive integer factors of 13266 that divides 13266 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 67, 99, 134, 198, 201, 402, 603, 737, 1206, 1474, 2211, 4422, 6633

Step-4: Factors of 13277

List of positive integer factors of 13277 that divides 13266 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13266 and 13277. The biggest common factor number is the GCF number.
So the greatest common factor 13266 and 13277 is 11.

Also check out the Least Common Multiple of 13266 and 13277