What is the Greatest Common Factor of 225 and 245?

Greatest common factor (GCF) of 225 and 245 is 5.

GCF(225,245) = 5

We will now calculate the prime factors of 225 and 245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 225 and 245.

How to find the GCF of 225 and 245?

We will first find the prime factorization of 225 and 245. After we will calculate the factors of 225 and 245 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 245

Prime factors of 245 are 5, 7. Prime factorization of 245 in exponential form is:

245 = 5¹ × 7²

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 245

List of positive integer factors of 245 that divides 225 without a remainder.

1, 5, 7, 35, 49

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 225 and 245. The biggest common factor number is the GCF number.
So the greatest common factor 225 and 245 is 5.

Also check out the Least Common Multiple of 225 and 245