What is the Greatest Common Factor of 5209 and 5223?

Greatest common factor (GCF) of 5209 and 5223 is 1.

GCF(5209,5223) = 1

We will now calculate the prime factors of 5209 and 5223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5209 and 5223.

How to find the GCF of 5209 and 5223?

We will first find the prime factorization of 5209 and 5223. After we will calculate the factors of 5209 and 5223 and find the biggest common factor number .

Step-1: Prime Factorization of 5209

Prime factors of 5209 are 5209. Prime factorization of 5209 in exponential form is:

5209 = 5209¹

Step-2: Prime Factorization of 5223

Prime factors of 5223 are 3, 1741. Prime factorization of 5223 in exponential form is:

5223 = 3¹ × 1741¹

Step-3: Factors of 5209

List of positive integer factors of 5209 that divides 5209 without a remainder.

Step-4: Factors of 5223

List of positive integer factors of 5223 that divides 5209 without a remainder.

1, 3, 1741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5209 and 5223. The biggest common factor number is the GCF number.
So the greatest common factor 5209 and 5223 is 1.

Also check out the Least Common Multiple of 5209 and 5223