What is the Greatest Common Factor of 17171 and 17178?

Greatest common factor (GCF) of 17171 and 17178 is 7.

GCF(17171,17178) = 7

We will now calculate the prime factors of 17171 and 17178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17171 and 17178.

How to find the GCF of 17171 and 17178?

We will first find the prime factorization of 17171 and 17178. After we will calculate the factors of 17171 and 17178 and find the biggest common factor number .

Step-1: Prime Factorization of 17171

Prime factors of 17171 are 7, 11, 223. Prime factorization of 17171 in exponential form is:

17171 = 7¹ × 11¹ × 223¹

Step-2: Prime Factorization of 17178

Prime factors of 17178 are 2, 3, 7, 409. Prime factorization of 17178 in exponential form is:

17178 = 2¹ × 3¹ × 7¹ × 409¹

Step-3: Factors of 17171

List of positive integer factors of 17171 that divides 17171 without a remainder.

1, 7, 11, 77, 223, 1561, 2453

Step-4: Factors of 17178

List of positive integer factors of 17178 that divides 17171 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 409, 818, 1227, 2454, 2863, 5726, 8589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17171 and 17178. The biggest common factor number is the GCF number.
So the greatest common factor 17171 and 17178 is 7.

Also check out the Least Common Multiple of 17171 and 17178