What is the Greatest Common Factor of 83181 and 83190?

Greatest common factor (GCF) of 83181 and 83190 is 3.

GCF(83181,83190) = 3

We will now calculate the prime factors of 83181 and 83190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83181 and 83190.

How to find the GCF of 83181 and 83190?

We will first find the prime factorization of 83181 and 83190. After we will calculate the factors of 83181 and 83190 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 83190

Prime factors of 83190 are 2, 3, 5, 47, 59. Prime factorization of 83190 in exponential form is:

83190 = 2¹ × 3¹ × 5¹ × 47¹ × 59¹

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 83190

List of positive integer factors of 83190 that divides 83181 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 59, 94, 118, 141, 177, 235, 282, 295, 354, 470, 590, 705, 885, 1410, 1770, 2773, 5546, 8319, 13865, 16638, 27730, 41595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83181 and 83190. The biggest common factor number is the GCF number.
So the greatest common factor 83181 and 83190 is 3.

Also check out the Least Common Multiple of 83181 and 83190