What is the Greatest Common Factor of 13 and 169?

Greatest common factor (GCF) of 13 and 169 is 13.

GCF(13,169) = 13

We will now calculate the prime factors of 13 and 169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 169.

How to find the GCF of 13 and 169?

We will first find the prime factorization of 13 and 169. After we will calculate the factors of 13 and 169 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 169

Prime factors of 169 are 13. Prime factorization of 169 in exponential form is:

169 = 13²

Step-3: Factors of 13

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

Step-4: Factors of 169

List of positive integer factors of 169 that divides 13 without a remainder.

1, 13

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13 and 169. The biggest common factor number is the GCF number.
So the greatest common factor 13 and 169 is 13.

Also check out the Least Common Multiple of 13 and 169