What is the Greatest Common Factor of 90225 and 90238?

Greatest common factor (GCF) of 90225 and 90238 is 1.

GCF(90225,90238) = 1

We will now calculate the prime factors of 90225 and 90238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90225 and 90238.

How to find the GCF of 90225 and 90238?

We will first find the prime factorization of 90225 and 90238. After we will calculate the factors of 90225 and 90238 and find the biggest common factor number .

Step-1: Prime Factorization of 90225

Prime factors of 90225 are 3, 5, 401. Prime factorization of 90225 in exponential form is:

90225 = 3² × 5² × 401¹

Step-2: Prime Factorization of 90238

Prime factors of 90238 are 2, 45119. Prime factorization of 90238 in exponential form is:

90238 = 2¹ × 45119¹

Step-3: Factors of 90225

List of positive integer factors of 90225 that divides 90225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 401, 1203, 2005, 3609, 6015, 10025, 18045, 30075

Step-4: Factors of 90238

List of positive integer factors of 90238 that divides 90225 without a remainder.

1, 2, 45119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90225 and 90238. The biggest common factor number is the GCF number.
So the greatest common factor 90225 and 90238 is 1.

Also check out the Least Common Multiple of 90225 and 90238