What is the Greatest Common Factor of 13 and 4?

Greatest common factor (GCF) of 13 and 4 is 1.

GCF(13,4) = 1

We will now calculate the prime factors of 13 and 4, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 4.

How to find the GCF of 13 and 4?

We will first find the prime factorization of 13 and 4. After we will calculate the factors of 13 and 4 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 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 2²

Step-3: Factors of 13

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

Step-4: Factors of 4

List of positive integer factors of 4 that divides 13 without a remainder.

1, 2

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13 and 4. The biggest common factor number is the GCF number.
So the greatest common factor 13 and 4 is 1.

Also check out the Least Common Multiple of 13 and 4