What is the Greatest Common Factor of 83181 and 83198?

Greatest common factor (GCF) of 83181 and 83198 is 17.

GCF(83181,83198) = 17

We will now calculate the prime factors of 83181 and 83198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83181 and 83198.

How to find the GCF of 83181 and 83198?

We will first find the prime factorization of 83181 and 83198. After we will calculate the factors of 83181 and 83198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83198

Prime factors of 83198 are 2, 17, 2447. Prime factorization of 83198 in exponential form is:

83198 = 2¹ × 17¹ × 2447¹

Step-3: Factors of 83181

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

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

Step-4: Factors of 83198

List of positive integer factors of 83198 that divides 83181 without a remainder.

1, 2, 17, 34, 2447, 4894, 41599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83181 and 83198. The biggest common factor number is the GCF number.
So the greatest common factor 83181 and 83198 is 17.

Also check out the Least Common Multiple of 83181 and 83198