What is the Greatest Common Factor of 6209 and 6225?

Greatest common factor (GCF) of 6209 and 6225 is 1.

GCF(6209,6225) = 1

We will now calculate the prime factors of 6209 and 6225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6209 and 6225.

How to find the GCF of 6209 and 6225?

We will first find the prime factorization of 6209 and 6225. After we will calculate the factors of 6209 and 6225 and find the biggest common factor number .

Step-1: Prime Factorization of 6209

Prime factors of 6209 are 7, 887. Prime factorization of 6209 in exponential form is:

6209 = 7¹ × 887¹

Step-2: Prime Factorization of 6225

Prime factors of 6225 are 3, 5, 83. Prime factorization of 6225 in exponential form is:

6225 = 3¹ × 5² × 83¹

Step-3: Factors of 6209

List of positive integer factors of 6209 that divides 6209 without a remainder.

1, 7, 887

Step-4: Factors of 6225

List of positive integer factors of 6225 that divides 6209 without a remainder.

1, 3, 5, 15, 25, 75, 83, 249, 415, 1245, 2075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6209 and 6225. The biggest common factor number is the GCF number.
So the greatest common factor 6209 and 6225 is 1.

Also check out the Least Common Multiple of 6209 and 6225