What is the Greatest Common Factor of 13286 and 13290?

Greatest common factor (GCF) of 13286 and 13290 is 2.

GCF(13286,13290) = 2

We will now calculate the prime factors of 13286 and 13290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13286 and 13290.

How to find the GCF of 13286 and 13290?

We will first find the prime factorization of 13286 and 13290. After we will calculate the factors of 13286 and 13290 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 13290

Prime factors of 13290 are 2, 3, 5, 443. Prime factorization of 13290 in exponential form is:

13290 = 2¹ × 3¹ × 5¹ × 443¹

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 13290

List of positive integer factors of 13290 that divides 13286 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 443, 886, 1329, 2215, 2658, 4430, 6645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13286 and 13290. The biggest common factor number is the GCF number.
So the greatest common factor 13286 and 13290 is 2.

Also check out the Least Common Multiple of 13286 and 13290