What is the Greatest Common Factor of 17149 and 17164?

Greatest common factor (GCF) of 17149 and 17164 is 1.

GCF(17149,17164) = 1

We will now calculate the prime factors of 17149 and 17164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17149 and 17164.

How to find the GCF of 17149 and 17164?

We will first find the prime factorization of 17149 and 17164. After we will calculate the factors of 17149 and 17164 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 17164

Prime factors of 17164 are 2, 7, 613. Prime factorization of 17164 in exponential form is:

17164 = 2² × 7¹ × 613¹

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 17164

List of positive integer factors of 17164 that divides 17149 without a remainder.

1, 2, 4, 7, 14, 28, 613, 1226, 2452, 4291, 8582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17149 and 17164. The biggest common factor number is the GCF number.
So the greatest common factor 17149 and 17164 is 1.

Also check out the Least Common Multiple of 17149 and 17164