What is the Greatest Common Factor of 13279 and 13286?

Greatest common factor (GCF) of 13279 and 13286 is 7.

GCF(13279,13286) = 7

We will now calculate the prime factors of 13279 and 13286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13279 and 13286.

How to find the GCF of 13279 and 13286?

We will first find the prime factorization of 13279 and 13286. After we will calculate the factors of 13279 and 13286 and find the biggest common factor number .

Step-1: Prime Factorization of 13279

Prime factors of 13279 are 7, 271. Prime factorization of 13279 in exponential form is:

13279 = 7² × 271¹

Step-2: Prime Factorization of 13286

Prime factors of 13286 are 2, 7, 13, 73. Prime factorization of 13286 in exponential form is:

13286 = 2¹ × 7¹ × 13¹ × 73¹

Step-3: Factors of 13279

List of positive integer factors of 13279 that divides 13279 without a remainder.

1, 7, 49, 271, 1897

Step-4: Factors of 13286

List of positive integer factors of 13286 that divides 13279 without a remainder.

1, 2, 7, 13, 14, 26, 73, 91, 146, 182, 511, 949, 1022, 1898, 6643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13279 and 13286. The biggest common factor number is the GCF number.
So the greatest common factor 13279 and 13286 is 7.

Also check out the Least Common Multiple of 13279 and 13286