What is the Greatest Common Factor of 83166 and 83175?

Greatest common factor (GCF) of 83166 and 83175 is 3.

GCF(83166,83175) = 3

We will now calculate the prime factors of 83166 and 83175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83166 and 83175.

How to find the GCF of 83166 and 83175?

We will first find the prime factorization of 83166 and 83175. After we will calculate the factors of 83166 and 83175 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83175

Prime factors of 83175 are 3, 5, 1109. Prime factorization of 83175 in exponential form is:

83175 = 3¹ × 5² × 1109¹

Step-3: Factors of 83166

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

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

Step-4: Factors of 83175

List of positive integer factors of 83175 that divides 83166 without a remainder.

1, 3, 5, 15, 25, 75, 1109, 3327, 5545, 16635, 27725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83166 and 83175. The biggest common factor number is the GCF number.
So the greatest common factor 83166 and 83175 is 3.

Also check out the Least Common Multiple of 83166 and 83175