What is the Greatest Common Factor of 7225 and 7241?

Greatest common factor (GCF) of 7225 and 7241 is 1.

GCF(7225,7241) = 1

We will now calculate the prime factors of 7225 and 7241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7225 and 7241.

How to find the GCF of 7225 and 7241?

We will first find the prime factorization of 7225 and 7241. After we will calculate the factors of 7225 and 7241 and find the biggest common factor number .

Step-1: Prime Factorization of 7225

Prime factors of 7225 are 5, 17. Prime factorization of 7225 in exponential form is:

7225 = 5² × 17²

Step-2: Prime Factorization of 7241

Prime factors of 7241 are 13, 557. Prime factorization of 7241 in exponential form is:

7241 = 13¹ × 557¹

Step-3: Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1, 5, 17, 25, 85, 289, 425, 1445

Step-4: Factors of 7241

List of positive integer factors of 7241 that divides 7225 without a remainder.

1, 13, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7225 and 7241. The biggest common factor number is the GCF number.
So the greatest common factor 7225 and 7241 is 1.

Also check out the Least Common Multiple of 7225 and 7241