What is the Greatest Common Factor of 225 and 242?

Greatest common factor (GCF) of 225 and 242 is 1.

GCF(225,242) = 1

We will now calculate the prime factors of 225 and 242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 225 and 242.

How to find the GCF of 225 and 242?

We will first find the prime factorization of 225 and 242. After we will calculate the factors of 225 and 242 and find the biggest common factor number .

Step-1: Prime Factorization of 225

Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:

225 = 3² × 5²

Step-2: Prime Factorization of 242

Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:

242 = 2¹ × 11²

Step-3: Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75

Step-4: Factors of 242

List of positive integer factors of 242 that divides 225 without a remainder.

1, 2, 11, 22, 121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 225 and 242. The biggest common factor number is the GCF number.
So the greatest common factor 225 and 242 is 1.

Also check out the Least Common Multiple of 225 and 242