What is the Greatest Common Factor of 84158 and 84166?

Greatest common factor (GCF) of 84158 and 84166 is 2.

GCF(84158,84166) = 2

We will now calculate the prime factors of 84158 and 84166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84158 and 84166.

How to find the GCF of 84158 and 84166?

We will first find the prime factorization of 84158 and 84166. After we will calculate the factors of 84158 and 84166 and find the biggest common factor number .

Step-1: Prime Factorization of 84158

Prime factors of 84158 are 2, 29, 1451. Prime factorization of 84158 in exponential form is:

84158 = 2¹ × 29¹ × 1451¹

Step-2: Prime Factorization of 84166

Prime factors of 84166 are 2, 42083. Prime factorization of 84166 in exponential form is:

84166 = 2¹ × 42083¹

Step-3: Factors of 84158

List of positive integer factors of 84158 that divides 84158 without a remainder.

1, 2, 29, 58, 1451, 2902, 42079

Step-4: Factors of 84166

List of positive integer factors of 84166 that divides 84158 without a remainder.

1, 2, 42083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84158 and 84166. The biggest common factor number is the GCF number.
So the greatest common factor 84158 and 84166 is 2.

Also check out the Least Common Multiple of 84158 and 84166