What is the Greatest Common Factor of 13286 and 13301?

Greatest common factor (GCF) of 13286 and 13301 is 1.

GCF(13286,13301) = 1

We will now calculate the prime factors of 13286 and 13301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13286 and 13301.

How to find the GCF of 13286 and 13301?

We will first find the prime factorization of 13286 and 13301. After we will calculate the factors of 13286 and 13301 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13301

Prime factors of 13301 are 47, 283. Prime factorization of 13301 in exponential form is:

13301 = 47¹ × 283¹

Step-3: Factors of 13286

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

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

Step-4: Factors of 13301

List of positive integer factors of 13301 that divides 13286 without a remainder.

1, 47, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13286 and 13301. The biggest common factor number is the GCF number.
So the greatest common factor 13286 and 13301 is 1.

Also check out the Least Common Multiple of 13286 and 13301