What is the Greatest Common Factor of 83164 and 83173?

Greatest common factor (GCF) of 83164 and 83173 is 1.

GCF(83164,83173) = 1

We will now calculate the prime factors of 83164 and 83173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83164 and 83173.

How to find the GCF of 83164 and 83173?

We will first find the prime factorization of 83164 and 83173. After we will calculate the factors of 83164 and 83173 and find the biggest common factor number .

Step-1: Prime Factorization of 83164

Prime factors of 83164 are 2, 17, 1223. Prime factorization of 83164 in exponential form is:

83164 = 2² × 17¹ × 1223¹

Step-2: Prime Factorization of 83173

Prime factors of 83173 are 31, 2683. Prime factorization of 83173 in exponential form is:

83173 = 31¹ × 2683¹

Step-3: Factors of 83164

List of positive integer factors of 83164 that divides 83164 without a remainder.

1, 2, 4, 17, 34, 68, 1223, 2446, 4892, 20791, 41582

Step-4: Factors of 83173

List of positive integer factors of 83173 that divides 83164 without a remainder.

1, 31, 2683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83164 and 83173. The biggest common factor number is the GCF number.
So the greatest common factor 83164 and 83173 is 1.

Also check out the Least Common Multiple of 83164 and 83173