What is the Greatest Common Factor of 13 and 26?

Greatest common factor (GCF) of 13 and 26 is 13.

GCF(13,26) = 13

We will now calculate the prime factors of 13 and 26, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 26.

How to find the GCF of 13 and 26?

We will first find the prime factorization of 13 and 26. After we will calculate the factors of 13 and 26 and find the biggest common factor number .

Step-1: Prime Factorization of 13

Prime factors of 13 are 13. Prime factorization of 13 in exponential form is:

13 = 13¹

Step-2: Prime Factorization of 26

Prime factors of 26 are 2, 13. Prime factorization of 26 in exponential form is:

26 = 2¹ × 13¹

Step-3: Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

Step-4: Factors of 26

List of positive integer factors of 26 that divides 13 without a remainder.

1, 2, 13

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13 and 26. The biggest common factor number is the GCF number.
So the greatest common factor 13 and 26 is 13.

Also check out the Least Common Multiple of 13 and 26