What is the Greatest Common Factor of 63225 and 63233?

Greatest common factor (GCF) of 63225 and 63233 is 1.

GCF(63225,63233) = 1

We will now calculate the prime factors of 63225 and 63233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63225 and 63233.

How to find the GCF of 63225 and 63233?

We will first find the prime factorization of 63225 and 63233. After we will calculate the factors of 63225 and 63233 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 63233

Prime factors of 63233 are 37, 1709. Prime factorization of 63233 in exponential form is:

63233 = 37¹ × 1709¹

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 63233

List of positive integer factors of 63233 that divides 63225 without a remainder.

1, 37, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63225 and 63233. The biggest common factor number is the GCF number.
So the greatest common factor 63225 and 63233 is 1.

Also check out the Least Common Multiple of 63225 and 63233