What is the Greatest Common Factor of 17225 and 17230?

Greatest common factor (GCF) of 17225 and 17230 is 5.

GCF(17225,17230) = 5

We will now calculate the prime factors of 17225 and 17230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17225 and 17230.

How to find the GCF of 17225 and 17230?

We will first find the prime factorization of 17225 and 17230. After we will calculate the factors of 17225 and 17230 and find the biggest common factor number .

Step-1: Prime Factorization of 17225

Prime factors of 17225 are 5, 13, 53. Prime factorization of 17225 in exponential form is:

17225 = 5² × 13¹ × 53¹

Step-2: Prime Factorization of 17230

Prime factors of 17230 are 2, 5, 1723. Prime factorization of 17230 in exponential form is:

17230 = 2¹ × 5¹ × 1723¹

Step-3: Factors of 17225

List of positive integer factors of 17225 that divides 17225 without a remainder.

1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445

Step-4: Factors of 17230

List of positive integer factors of 17230 that divides 17225 without a remainder.

1, 2, 5, 10, 1723, 3446, 8615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17225 and 17230. The biggest common factor number is the GCF number.
So the greatest common factor 17225 and 17230 is 5.

Also check out the Least Common Multiple of 17225 and 17230