What is the Greatest Common Factor of 6225 and 6230?

Greatest common factor (GCF) of 6225 and 6230 is 5.

GCF(6225,6230) = 5

We will now calculate the prime factors of 6225 and 6230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6225 and 6230.

How to find the GCF of 6225 and 6230?

We will first find the prime factorization of 6225 and 6230. After we will calculate the factors of 6225 and 6230 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 6230

Prime factors of 6230 are 2, 5, 7, 89. Prime factorization of 6230 in exponential form is:

6230 = 2¹ × 5¹ × 7¹ × 89¹

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 6230

List of positive integer factors of 6230 that divides 6225 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6225 and 6230. The biggest common factor number is the GCF number.
So the greatest common factor 6225 and 6230 is 5.

Also check out the Least Common Multiple of 6225 and 6230