What is the Greatest Common Factor of 13258 and 13278?

Greatest common factor (GCF) of 13258 and 13278 is 2.

GCF(13258,13278) = 2

We will now calculate the prime factors of 13258 and 13278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13258 and 13278.

How to find the GCF of 13258 and 13278?

We will first find the prime factorization of 13258 and 13278. After we will calculate the factors of 13258 and 13278 and find the biggest common factor number .

Step-1: Prime Factorization of 13258

Prime factors of 13258 are 2, 7, 947. Prime factorization of 13258 in exponential form is:

13258 = 2¹ × 7¹ × 947¹

Step-2: Prime Factorization of 13278

Prime factors of 13278 are 2, 3, 2213. Prime factorization of 13278 in exponential form is:

13278 = 2¹ × 3¹ × 2213¹

Step-3: Factors of 13258

List of positive integer factors of 13258 that divides 13258 without a remainder.

1, 2, 7, 14, 947, 1894, 6629

Step-4: Factors of 13278

List of positive integer factors of 13278 that divides 13258 without a remainder.

1, 2, 3, 6, 2213, 4426, 6639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13258 and 13278. The biggest common factor number is the GCF number.
So the greatest common factor 13258 and 13278 is 2.

Also check out the Least Common Multiple of 13258 and 13278