What is the Greatest Common Factor of 83152 and 83166?

Greatest common factor (GCF) of 83152 and 83166 is 2.

GCF(83152,83166) = 2

We will now calculate the prime factors of 83152 and 83166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83152 and 83166.

How to find the GCF of 83152 and 83166?

We will first find the prime factorization of 83152 and 83166. After we will calculate the factors of 83152 and 83166 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 83166

Prime factors of 83166 are 2, 3, 83, 167. Prime factorization of 83166 in exponential form is:

83166 = 2¹ × 3¹ × 83¹ × 167¹

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 83166

List of positive integer factors of 83166 that divides 83152 without a remainder.

1, 2, 3, 6, 83, 166, 167, 249, 334, 498, 501, 1002, 13861, 27722, 41583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83152 and 83166. The biggest common factor number is the GCF number.
So the greatest common factor 83152 and 83166 is 2.

Also check out the Least Common Multiple of 83152 and 83166