What is the Greatest Common Factor of 17225 and 17242?

Greatest common factor (GCF) of 17225 and 17242 is 1.

GCF(17225,17242) = 1

We will now calculate the prime factors of 17225 and 17242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17225 and 17242.

How to find the GCF of 17225 and 17242?

We will first find the prime factorization of 17225 and 17242. After we will calculate the factors of 17225 and 17242 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 17242

Prime factors of 17242 are 2, 37, 233. Prime factorization of 17242 in exponential form is:

17242 = 2¹ × 37¹ × 233¹

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 17242

List of positive integer factors of 17242 that divides 17225 without a remainder.

1, 2, 37, 74, 233, 466, 8621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17225 and 17242. The biggest common factor number is the GCF number.
So the greatest common factor 17225 and 17242 is 1.

Also check out the Least Common Multiple of 17225 and 17242