What is the Greatest Common Factor of 17275 and 17291?

Greatest common factor (GCF) of 17275 and 17291 is 1.

GCF(17275,17291) = 1

We will now calculate the prime factors of 17275 and 17291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17275 and 17291.

How to find the GCF of 17275 and 17291?

We will first find the prime factorization of 17275 and 17291. After we will calculate the factors of 17275 and 17291 and find the biggest common factor number .

Step-1: Prime Factorization of 17275

Prime factors of 17275 are 5, 691. Prime factorization of 17275 in exponential form is:

17275 = 5² × 691¹

Step-2: Prime Factorization of 17291

Prime factors of 17291 are 17291. Prime factorization of 17291 in exponential form is:

17291 = 17291¹

Step-3: Factors of 17275

List of positive integer factors of 17275 that divides 17275 without a remainder.

1, 5, 25, 691, 3455

Step-4: Factors of 17291

List of positive integer factors of 17291 that divides 17275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17275 and 17291. The biggest common factor number is the GCF number.
So the greatest common factor 17275 and 17291 is 1.

Also check out the Least Common Multiple of 17275 and 17291