What is the Greatest Common Factor of 5213 and 5227?

Greatest common factor (GCF) of 5213 and 5227 is 1.

GCF(5213,5227) = 1

We will now calculate the prime factors of 5213 and 5227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5213 and 5227.

How to find the GCF of 5213 and 5227?

We will first find the prime factorization of 5213 and 5227. After we will calculate the factors of 5213 and 5227 and find the biggest common factor number .

Step-1: Prime Factorization of 5213

Prime factors of 5213 are 13, 401. Prime factorization of 5213 in exponential form is:

5213 = 13¹ × 401¹

Step-2: Prime Factorization of 5227

Prime factors of 5227 are 5227. Prime factorization of 5227 in exponential form is:

5227 = 5227¹

Step-3: Factors of 5213

List of positive integer factors of 5213 that divides 5213 without a remainder.

1, 13, 401

Step-4: Factors of 5227

List of positive integer factors of 5227 that divides 5213 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5213 and 5227. The biggest common factor number is the GCF number.
So the greatest common factor 5213 and 5227 is 1.

Also check out the Least Common Multiple of 5213 and 5227