What is the Greatest Common Factor of 5209 and 5229?

Greatest common factor (GCF) of 5209 and 5229 is 1.

GCF(5209,5229) = 1

We will now calculate the prime factors of 5209 and 5229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5209 and 5229.

How to find the GCF of 5209 and 5229?

We will first find the prime factorization of 5209 and 5229. After we will calculate the factors of 5209 and 5229 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 5229

Prime factors of 5229 are 3, 7, 83. Prime factorization of 5229 in exponential form is:

5229 = 3² × 7¹ × 83¹

Step-3: Factors of 5209

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

Step-4: Factors of 5229

List of positive integer factors of 5229 that divides 5209 without a remainder.

1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5209 and 5229. The biggest common factor number is the GCF number.
So the greatest common factor 5209 and 5229 is 1.

Also check out the Least Common Multiple of 5209 and 5229