What is the Greatest Common Factor of 84160 and 84178?

Greatest common factor (GCF) of 84160 and 84178 is 2.

GCF(84160,84178) = 2

We will now calculate the prime factors of 84160 and 84178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84160 and 84178.

How to find the GCF of 84160 and 84178?

We will first find the prime factorization of 84160 and 84178. After we will calculate the factors of 84160 and 84178 and find the biggest common factor number .

Step-1: Prime Factorization of 84160

Prime factors of 84160 are 2, 5, 263. Prime factorization of 84160 in exponential form is:

84160 = 2⁶ × 5¹ × 263¹

Step-2: Prime Factorization of 84178

Prime factors of 84178 are 2, 42089. Prime factorization of 84178 in exponential form is:

84178 = 2¹ × 42089¹

Step-3: Factors of 84160

List of positive integer factors of 84160 that divides 84160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 263, 320, 526, 1052, 1315, 2104, 2630, 4208, 5260, 8416, 10520, 16832, 21040, 42080

Step-4: Factors of 84178

List of positive integer factors of 84178 that divides 84160 without a remainder.

1, 2, 42089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84160 and 84178. The biggest common factor number is the GCF number.
So the greatest common factor 84160 and 84178 is 2.

Also check out the Least Common Multiple of 84160 and 84178