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What is the Greatest Common Factor of 17167 and 17187?

Greatest common factor (GCF) of 17167 and 17187 is 1.

GCF(17167,17187) = 1

We will now calculate the prime factors of 17167 and 17187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17167 and 17187.

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How to find the GCF of 17167 and 17187?

We will first find the prime factorization of 17167 and 17187. After we will calculate the factors of 17167 and 17187 and find the biggest common factor number .

Step-1: Prime Factorization of 17167

Prime factors of 17167 are 17167. Prime factorization of 17167 in exponential form is:

17167 = 171671

Step-2: Prime Factorization of 17187

Prime factors of 17187 are 3, 17, 337. Prime factorization of 17187 in exponential form is:

17187 = 31 × 171 × 3371

Step-3: Factors of 17167

List of positive integer factors of 17167 that divides 17167 without a remainder.

1

Step-4: Factors of 17187

List of positive integer factors of 17187 that divides 17167 without a remainder.

1, 3, 17, 51, 337, 1011, 5729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17167 and 17187. The biggest common factor number is the GCF number.
So the greatest common factor 17167 and 17187 is 1.

Also check out the Least Common Multiple of 17167 and 17187