What is the Greatest Common Factor of 80158 and 80171?

Greatest common factor (GCF) of 80158 and 80171 is 13.

GCF(80158,80171) = 13

We will now calculate the prime factors of 80158 and 80171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80158 and 80171.

How to find the GCF of 80158 and 80171?

We will first find the prime factorization of 80158 and 80171. After we will calculate the factors of 80158 and 80171 and find the biggest common factor number .

Step-1: Prime Factorization of 80158

Prime factors of 80158 are 2, 13, 3083. Prime factorization of 80158 in exponential form is:

80158 = 2¹ × 13¹ × 3083¹

Step-2: Prime Factorization of 80171

Prime factors of 80171 are 7, 13, 881. Prime factorization of 80171 in exponential form is:

80171 = 7¹ × 13¹ × 881¹

Step-3: Factors of 80158

List of positive integer factors of 80158 that divides 80158 without a remainder.

1, 2, 13, 26, 3083, 6166, 40079

Step-4: Factors of 80171

List of positive integer factors of 80171 that divides 80158 without a remainder.

1, 7, 13, 91, 881, 6167, 11453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80158 and 80171. The biggest common factor number is the GCF number.
So the greatest common factor 80158 and 80171 is 13.

Also check out the Least Common Multiple of 80158 and 80171