What is the Greatest Common Factor of 83164 and 83181?

Greatest common factor (GCF) of 83164 and 83181 is 17.

GCF(83164,83181) = 17

We will now calculate the prime factors of 83164 and 83181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83164 and 83181.

How to find the GCF of 83164 and 83181?

We will first find the prime factorization of 83164 and 83181. After we will calculate the factors of 83164 and 83181 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 83181

Prime factors of 83181 are 3, 7, 17, 233. Prime factorization of 83181 in exponential form is:

83181 = 3¹ × 7¹ × 17¹ × 233¹

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 83181

List of positive integer factors of 83181 that divides 83164 without a remainder.

1, 3, 7, 17, 21, 51, 119, 233, 357, 699, 1631, 3961, 4893, 11883, 27727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83164 and 83181. The biggest common factor number is the GCF number.
So the greatest common factor 83164 and 83181 is 17.

Also check out the Least Common Multiple of 83164 and 83181