What is the Greatest Common Factor of 71165 and 71173?

Greatest common factor (GCF) of 71165 and 71173 is 1.

GCF(71165,71173) = 1

We will now calculate the prime factors of 71165 and 71173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71165 and 71173.

How to find the GCF of 71165 and 71173?

We will first find the prime factorization of 71165 and 71173. After we will calculate the factors of 71165 and 71173 and find the biggest common factor number .

Step-1: Prime Factorization of 71165

Prime factors of 71165 are 5, 43, 331. Prime factorization of 71165 in exponential form is:

71165 = 5¹ × 43¹ × 331¹

Step-2: Prime Factorization of 71173

Prime factors of 71173 are 103, 691. Prime factorization of 71173 in exponential form is:

71173 = 103¹ × 691¹

Step-3: Factors of 71165

List of positive integer factors of 71165 that divides 71165 without a remainder.

1, 5, 43, 215, 331, 1655, 14233

Step-4: Factors of 71173

List of positive integer factors of 71173 that divides 71165 without a remainder.

1, 103, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71165 and 71173. The biggest common factor number is the GCF number.
So the greatest common factor 71165 and 71173 is 1.

Also check out the Least Common Multiple of 71165 and 71173