What is the Greatest Common Factor of 7225 and 7237?

Greatest common factor (GCF) of 7225 and 7237 is 1.

GCF(7225,7237) = 1

We will now calculate the prime factors of 7225 and 7237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7225 and 7237.

How to find the GCF of 7225 and 7237?

We will first find the prime factorization of 7225 and 7237. After we will calculate the factors of 7225 and 7237 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 7237

Prime factors of 7237 are 7237. Prime factorization of 7237 in exponential form is:

7237 = 7237¹

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 7237

List of positive integer factors of 7237 that divides 7225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7225 and 7237. The biggest common factor number is the GCF number.
So the greatest common factor 7225 and 7237 is 1.

Also check out the Least Common Multiple of 7225 and 7237