What is the Greatest Common Factor of 14225 and 14230?

Greatest common factor (GCF) of 14225 and 14230 is 5.

GCF(14225,14230) = 5

We will now calculate the prime factors of 14225 and 14230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14225 and 14230.

How to find the GCF of 14225 and 14230?

We will first find the prime factorization of 14225 and 14230. After we will calculate the factors of 14225 and 14230 and find the biggest common factor number .

Step-1: Prime Factorization of 14225

Prime factors of 14225 are 5, 569. Prime factorization of 14225 in exponential form is:

14225 = 5² × 569¹

Step-2: Prime Factorization of 14230

Prime factors of 14230 are 2, 5, 1423. Prime factorization of 14230 in exponential form is:

14230 = 2¹ × 5¹ × 1423¹

Step-3: Factors of 14225

List of positive integer factors of 14225 that divides 14225 without a remainder.

1, 5, 25, 569, 2845

Step-4: Factors of 14230

List of positive integer factors of 14230 that divides 14225 without a remainder.

1, 2, 5, 10, 1423, 2846, 7115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14225 and 14230. The biggest common factor number is the GCF number.
So the greatest common factor 14225 and 14230 is 5.

Also check out the Least Common Multiple of 14225 and 14230