What is the Greatest Common Factor of 83175 and 83190?

Greatest common factor (GCF) of 83175 and 83190 is 15.

GCF(83175,83190) = 15

We will now calculate the prime factors of 83175 and 83190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83175 and 83190.

How to find the GCF of 83175 and 83190?

We will first find the prime factorization of 83175 and 83190. After we will calculate the factors of 83175 and 83190 and find the biggest common factor number .

Step-1: 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-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 83175

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

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

Step-4: Factors of 83190

List of positive integer factors of 83190 that divides 83175 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 83175 and 83190. The biggest common factor number is the GCF number.
So the greatest common factor 83175 and 83190 is 15.

Also check out the Least Common Multiple of 83175 and 83190