What is the Greatest Common Factor of 83152 and 83168?

Greatest common factor (GCF) of 83152 and 83168 is 16.

GCF(83152,83168) = 16

We will now calculate the prime factors of 83152 and 83168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83152 and 83168.

How to find the GCF of 83152 and 83168?

We will first find the prime factorization of 83152 and 83168. After we will calculate the factors of 83152 and 83168 and find the biggest common factor number .

Step-1: Prime Factorization of 83152

Prime factors of 83152 are 2, 5197. Prime factorization of 83152 in exponential form is:

83152 = 2⁴ × 5197¹

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 83152

List of positive integer factors of 83152 that divides 83152 without a remainder.

1, 2, 4, 8, 16, 5197, 10394, 20788, 41576

Step-4: Factors of 83168

List of positive integer factors of 83168 that divides 83152 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 83152 and 83168. The biggest common factor number is the GCF number.
So the greatest common factor 83152 and 83168 is 16.

Also check out the Least Common Multiple of 83152 and 83168