What is the Greatest Common Factor of 63225 and 63235?

Greatest common factor (GCF) of 63225 and 63235 is 5.

GCF(63225,63235) = 5

We will now calculate the prime factors of 63225 and 63235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63225 and 63235.

How to find the GCF of 63225 and 63235?

We will first find the prime factorization of 63225 and 63235. After we will calculate the factors of 63225 and 63235 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 63235

Prime factors of 63235 are 5, 12647. Prime factorization of 63235 in exponential form is:

63235 = 5¹ × 12647¹

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 63235

List of positive integer factors of 63235 that divides 63225 without a remainder.

1, 5, 12647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63225 and 63235. The biggest common factor number is the GCF number.
So the greatest common factor 63225 and 63235 is 5.

Also check out the Least Common Multiple of 63225 and 63235