What is the Greatest Common Factor of 17149 and 17169?

Greatest common factor (GCF) of 17149 and 17169 is 1.

GCF(17149,17169) = 1

We will now calculate the prime factors of 17149 and 17169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17149 and 17169.

How to find the GCF of 17149 and 17169?

We will first find the prime factorization of 17149 and 17169. After we will calculate the factors of 17149 and 17169 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 17169

Prime factors of 17169 are 3, 59, 97. Prime factorization of 17169 in exponential form is:

17169 = 3¹ × 59¹ × 97¹

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 17169

List of positive integer factors of 17169 that divides 17149 without a remainder.

1, 3, 59, 97, 177, 291, 5723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17149 and 17169. The biggest common factor number is the GCF number.
So the greatest common factor 17149 and 17169 is 1.

Also check out the Least Common Multiple of 17149 and 17169