What is the Greatest Common Factor of 90225 and 90239?

Greatest common factor (GCF) of 90225 and 90239 is 1.

GCF(90225,90239) = 1

We will now calculate the prime factors of 90225 and 90239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90225 and 90239.

How to find the GCF of 90225 and 90239?

We will first find the prime factorization of 90225 and 90239. After we will calculate the factors of 90225 and 90239 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 90239

Prime factors of 90239 are 90239. Prime factorization of 90239 in exponential form is:

90239 = 90239¹

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 90239

List of positive integer factors of 90239 that divides 90225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90225 and 90239. The biggest common factor number is the GCF number.
So the greatest common factor 90225 and 90239 is 1.

Also check out the Least Common Multiple of 90225 and 90239