What is the Greatest Common Factor of 84176 and 84196?

Greatest common factor (GCF) of 84176 and 84196 is 4.

GCF(84176,84196) = 4

We will now calculate the prime factors of 84176 and 84196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84176 and 84196.

How to find the GCF of 84176 and 84196?

We will first find the prime factorization of 84176 and 84196. After we will calculate the factors of 84176 and 84196 and find the biggest common factor number .

Step-1: Prime Factorization of 84176

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

84176 = 2⁴ × 5261¹

Step-2: Prime Factorization of 84196

Prime factors of 84196 are 2, 7, 31, 97. Prime factorization of 84196 in exponential form is:

84196 = 2² × 7¹ × 31¹ × 97¹

Step-3: Factors of 84176

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

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

Step-4: Factors of 84196

List of positive integer factors of 84196 that divides 84176 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 97, 124, 194, 217, 388, 434, 679, 868, 1358, 2716, 3007, 6014, 12028, 21049, 42098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84176 and 84196. The biggest common factor number is the GCF number.
So the greatest common factor 84176 and 84196 is 4.

Also check out the Least Common Multiple of 84176 and 84196