What is the Greatest Common Factor of 2225 and 2245?

Greatest common factor (GCF) of 2225 and 2245 is 5.

GCF(2225,2245) = 5

We will now calculate the prime factors of 2225 and 2245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2225 and 2245.

How to find the GCF of 2225 and 2245?

We will first find the prime factorization of 2225 and 2245. After we will calculate the factors of 2225 and 2245 and find the biggest common factor number .

Step-1: Prime Factorization of 2225

Prime factors of 2225 are 5, 89. Prime factorization of 2225 in exponential form is:

2225 = 5² × 89¹

Step-2: Prime Factorization of 2245

Prime factors of 2245 are 5, 449. Prime factorization of 2245 in exponential form is:

2245 = 5¹ × 449¹

Step-3: Factors of 2225

List of positive integer factors of 2225 that divides 2225 without a remainder.

1, 5, 25, 89, 445

Step-4: Factors of 2245

List of positive integer factors of 2245 that divides 2225 without a remainder.

1, 5, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2225 and 2245. The biggest common factor number is the GCF number.
So the greatest common factor 2225 and 2245 is 5.

Also check out the Least Common Multiple of 2225 and 2245