What is the Greatest Common Factor of 83156 and 83168?

Greatest common factor (GCF) of 83156 and 83168 is 4.

GCF(83156,83168) = 4

We will now calculate the prime factors of 83156 and 83168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83156 and 83168.

How to find the GCF of 83156 and 83168?

We will first find the prime factorization of 83156 and 83168. After we will calculate the factors of 83156 and 83168 and find the biggest common factor number .

Step-1: Prime Factorization of 83156

Prime factors of 83156 are 2, 20789. Prime factorization of 83156 in exponential form is:

83156 = 2² × 20789¹

Step-2: 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-3: Factors of 83156

List of positive integer factors of 83156 that divides 83156 without a remainder.

1, 2, 4, 20789, 41578

Step-4: Factors of 83168

List of positive integer factors of 83168 that divides 83156 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83156 and 83168. The biggest common factor number is the GCF number.
So the greatest common factor 83156 and 83168 is 4.

Also check out the Least Common Multiple of 83156 and 83168