What is the Greatest Common Factor of 17149 and 17161?

Greatest common factor (GCF) of 17149 and 17161 is 1.

GCF(17149,17161) = 1

We will now calculate the prime factors of 17149 and 17161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17149 and 17161.

How to find the GCF of 17149 and 17161?

We will first find the prime factorization of 17149 and 17161. After we will calculate the factors of 17149 and 17161 and find the biggest common factor number .

Step-1: Prime Factorization of 17149

Prime factors of 17149 are 11, 1559. Prime factorization of 17149 in exponential form is:

17149 = 11¹ × 1559¹

Step-2: Prime Factorization of 17161

Prime factors of 17161 are 131. Prime factorization of 17161 in exponential form is:

17161 = 131²

Step-3: Factors of 17149

List of positive integer factors of 17149 that divides 17149 without a remainder.

1, 11, 1559

Step-4: Factors of 17161

List of positive integer factors of 17161 that divides 17149 without a remainder.

1, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17149 and 17161. The biggest common factor number is the GCF number.
So the greatest common factor 17149 and 17161 is 1.

Also check out the Least Common Multiple of 17149 and 17161