What is the Greatest Common Factor of 68276 and 68289?

Greatest common factor (GCF) of 68276 and 68289 is 13.

GCF(68276,68289) = 13

We will now calculate the prime factors of 68276 and 68289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68276 and 68289.

How to find the GCF of 68276 and 68289?

We will first find the prime factorization of 68276 and 68289. After we will calculate the factors of 68276 and 68289 and find the biggest common factor number .

Step-1: Prime Factorization of 68276

Prime factors of 68276 are 2, 13, 101. Prime factorization of 68276 in exponential form is:

68276 = 2² × 13² × 101¹

Step-2: Prime Factorization of 68289

Prime factors of 68289 are 3, 13, 17, 103. Prime factorization of 68289 in exponential form is:

68289 = 3¹ × 13¹ × 17¹ × 103¹

Step-3: Factors of 68276

List of positive integer factors of 68276 that divides 68276 without a remainder.

1, 2, 4, 13, 26, 52, 101, 169, 202, 338, 404, 676, 1313, 2626, 5252, 17069, 34138

Step-4: Factors of 68289

List of positive integer factors of 68289 that divides 68276 without a remainder.

1, 3, 13, 17, 39, 51, 103, 221, 309, 663, 1339, 1751, 4017, 5253, 22763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68276 and 68289. The biggest common factor number is the GCF number.
So the greatest common factor 68276 and 68289 is 13.

Also check out the Least Common Multiple of 68276 and 68289