What is the Greatest Common Factor of 87166 and 87178?

Greatest common factor (GCF) of 87166 and 87178 is 2.

GCF(87166,87178) = 2

We will now calculate the prime factors of 87166 and 87178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87166 and 87178.

How to find the GCF of 87166 and 87178?

We will first find the prime factorization of 87166 and 87178. After we will calculate the factors of 87166 and 87178 and find the biggest common factor number .

Step-1: Prime Factorization of 87166

Prime factors of 87166 are 2, 41, 1063. Prime factorization of 87166 in exponential form is:

87166 = 2¹ × 41¹ × 1063¹

Step-2: Prime Factorization of 87178

Prime factors of 87178 are 2, 7, 13, 479. Prime factorization of 87178 in exponential form is:

87178 = 2¹ × 7¹ × 13¹ × 479¹

Step-3: Factors of 87166

List of positive integer factors of 87166 that divides 87166 without a remainder.

1, 2, 41, 82, 1063, 2126, 43583

Step-4: Factors of 87178

List of positive integer factors of 87178 that divides 87166 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 479, 958, 3353, 6227, 6706, 12454, 43589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87166 and 87178. The biggest common factor number is the GCF number.
So the greatest common factor 87166 and 87178 is 2.

Also check out the Least Common Multiple of 87166 and 87178