What is the Greatest Common Factor of 13 and 21?

Greatest common factor (GCF) of 13 and 21 is 1.

GCF(13,21) = 1

We will now calculate the prime factors of 13 and 21, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 21.

How to find the GCF of 13 and 21?

We will first find the prime factorization of 13 and 21. After we will calculate the factors of 13 and 21 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 21

Prime factors of 21 are 3, 7. Prime factorization of 21 in exponential form is:

21 = 3¹ × 7¹

Step-3: Factors of 13

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

Step-4: Factors of 21

List of positive integer factors of 21 that divides 13 without a remainder.

1, 3, 7

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13 and 21. The biggest common factor number is the GCF number.
So the greatest common factor 13 and 21 is 1.

Also check out the Least Common Multiple of 13 and 21