What is the Greatest Common Factor of 83168 and 83176?

Greatest common factor (GCF) of 83168 and 83176 is 8.

GCF(83168,83176) = 8

We will now calculate the prime factors of 83168 and 83176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83168 and 83176.

How to find the GCF of 83168 and 83176?

We will first find the prime factorization of 83168 and 83176. After we will calculate the factors of 83168 and 83176 and find the biggest common factor number .

Step-1: Prime Factorization of 83168

Prime factors of 83168 are 2, 23, 113. Prime factorization of 83168 in exponential form is:

83168 = 2⁵ × 23¹ × 113¹

Step-2: Prime Factorization of 83176

Prime factors of 83176 are 2, 37, 281. Prime factorization of 83176 in exponential form is:

83176 = 2³ × 37¹ × 281¹

Step-3: Factors of 83168

List of positive integer factors of 83168 that divides 83168 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 113, 184, 226, 368, 452, 736, 904, 1808, 2599, 3616, 5198, 10396, 20792, 41584

Step-4: Factors of 83176

List of positive integer factors of 83176 that divides 83168 without a remainder.

1, 2, 4, 8, 37, 74, 148, 281, 296, 562, 1124, 2248, 10397, 20794, 41588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83168 and 83176. The biggest common factor number is the GCF number.
So the greatest common factor 83168 and 83176 is 8.

Also check out the Least Common Multiple of 83168 and 83176