What is the Greatest Common Factor of 90219 and 90225?

Greatest common factor (GCF) of 90219 and 90225 is 3.

GCF(90219,90225) = 3

We will now calculate the prime factors of 90219 and 90225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90219 and 90225.

How to find the GCF of 90219 and 90225?

We will first find the prime factorization of 90219 and 90225. After we will calculate the factors of 90219 and 90225 and find the biggest common factor number .

Step-1: Prime Factorization of 90219

Prime factors of 90219 are 3, 17, 29, 61. Prime factorization of 90219 in exponential form is:

90219 = 3¹ × 17¹ × 29¹ × 61¹

Step-2: 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-3: Factors of 90219

List of positive integer factors of 90219 that divides 90219 without a remainder.

1, 3, 17, 29, 51, 61, 87, 183, 493, 1037, 1479, 1769, 3111, 5307, 30073

Step-4: Factors of 90225

List of positive integer factors of 90225 that divides 90219 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90219 and 90225. The biggest common factor number is the GCF number.
So the greatest common factor 90219 and 90225 is 3.

Also check out the Least Common Multiple of 90219 and 90225