What is the Greatest Common Factor of 6225 and 6234?

Greatest common factor (GCF) of 6225 and 6234 is 3.

GCF(6225,6234) = 3

We will now calculate the prime factors of 6225 and 6234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6225 and 6234.

How to find the GCF of 6225 and 6234?

We will first find the prime factorization of 6225 and 6234. After we will calculate the factors of 6225 and 6234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6234

Prime factors of 6234 are 2, 3, 1039. Prime factorization of 6234 in exponential form is:

6234 = 2¹ × 3¹ × 1039¹

Step-3: Factors of 6225

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

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

Step-4: Factors of 6234

List of positive integer factors of 6234 that divides 6225 without a remainder.

1, 2, 3, 6, 1039, 2078, 3117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6225 and 6234. The biggest common factor number is the GCF number.
So the greatest common factor 6225 and 6234 is 3.

Also check out the Least Common Multiple of 6225 and 6234