What is the Greatest Common Factor of 84164 and 84176?

Greatest common factor (GCF) of 84164 and 84176 is 4.

GCF(84164,84176) = 4

We will now calculate the prime factors of 84164 and 84176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84164 and 84176.

How to find the GCF of 84164 and 84176?

We will first find the prime factorization of 84164 and 84176. After we will calculate the factors of 84164 and 84176 and find the biggest common factor number .

Step-1: Prime Factorization of 84164

Prime factors of 84164 are 2, 53, 397. Prime factorization of 84164 in exponential form is:

84164 = 2² × 53¹ × 397¹

Step-2: Prime Factorization of 84176

Prime factors of 84176 are 2, 5261. Prime factorization of 84176 in exponential form is:

84176 = 2⁴ × 5261¹

Step-3: Factors of 84164

List of positive integer factors of 84164 that divides 84164 without a remainder.

1, 2, 4, 53, 106, 212, 397, 794, 1588, 21041, 42082

Step-4: Factors of 84176

List of positive integer factors of 84176 that divides 84164 without a remainder.

1, 2, 4, 8, 16, 5261, 10522, 21044, 42088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84164 and 84176. The biggest common factor number is the GCF number.
So the greatest common factor 84164 and 84176 is 4.

Also check out the Least Common Multiple of 84164 and 84176