What is the Greatest Common Factor of 90225 and 90244?

Greatest common factor (GCF) of 90225 and 90244 is 1.

GCF(90225,90244) = 1

We will now calculate the prime factors of 90225 and 90244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90225 and 90244.

How to find the GCF of 90225 and 90244?

We will first find the prime factorization of 90225 and 90244. After we will calculate the factors of 90225 and 90244 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 90244

Prime factors of 90244 are 2, 7, 11, 293. Prime factorization of 90244 in exponential form is:

90244 = 2² × 7¹ × 11¹ × 293¹

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 90244

List of positive integer factors of 90244 that divides 90225 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 293, 308, 586, 1172, 2051, 3223, 4102, 6446, 8204, 12892, 22561, 45122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90225 and 90244. The biggest common factor number is the GCF number.
So the greatest common factor 90225 and 90244 is 1.

Also check out the Least Common Multiple of 90225 and 90244