What is the Greatest Common Factor of 63225 and 63230?

Greatest common factor (GCF) of 63225 and 63230 is 5.

GCF(63225,63230) = 5

We will now calculate the prime factors of 63225 and 63230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63225 and 63230.

How to find the GCF of 63225 and 63230?

We will first find the prime factorization of 63225 and 63230. After we will calculate the factors of 63225 and 63230 and find the biggest common factor number .

Step-1: Prime Factorization of 63225

Prime factors of 63225 are 3, 5, 281. Prime factorization of 63225 in exponential form is:

63225 = 3² × 5² × 281¹

Step-2: Prime Factorization of 63230

Prime factors of 63230 are 2, 5, 6323. Prime factorization of 63230 in exponential form is:

63230 = 2¹ × 5¹ × 6323¹

Step-3: Factors of 63225

List of positive integer factors of 63225 that divides 63225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 281, 843, 1405, 2529, 4215, 7025, 12645, 21075

Step-4: Factors of 63230

List of positive integer factors of 63230 that divides 63225 without a remainder.

1, 2, 5, 10, 6323, 12646, 31615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63225 and 63230. The biggest common factor number is the GCF number.
So the greatest common factor 63225 and 63230 is 5.

Also check out the Least Common Multiple of 63225 and 63230