What is the Greatest Common Factor of 13078 and 13091?

Greatest common factor (GCF) of 13078 and 13091 is 13.

GCF(13078,13091) = 13

We will now calculate the prime factors of 13078 and 13091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13078 and 13091.

How to find the GCF of 13078 and 13091?

We will first find the prime factorization of 13078 and 13091. After we will calculate the factors of 13078 and 13091 and find the biggest common factor number .

Step-1: Prime Factorization of 13078

Prime factors of 13078 are 2, 13, 503. Prime factorization of 13078 in exponential form is:

13078 = 2¹ × 13¹ × 503¹

Step-2: Prime Factorization of 13091

Prime factors of 13091 are 13, 19, 53. Prime factorization of 13091 in exponential form is:

13091 = 13¹ × 19¹ × 53¹

Step-3: Factors of 13078

List of positive integer factors of 13078 that divides 13078 without a remainder.

1, 2, 13, 26, 503, 1006, 6539

Step-4: Factors of 13091

List of positive integer factors of 13091 that divides 13078 without a remainder.

1, 13, 19, 53, 247, 689, 1007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13078 and 13091. The biggest common factor number is the GCF number.
So the greatest common factor 13078 and 13091 is 13.

Also check out the Least Common Multiple of 13078 and 13091