What is the Greatest Common Factor of 82170 and 82190?

Greatest common factor (GCF) of 82170 and 82190 is 10.

GCF(82170,82190) = 10

We will now calculate the prime factors of 82170 and 82190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82170 and 82190.

How to find the GCF of 82170 and 82190?

We will first find the prime factorization of 82170 and 82190. After we will calculate the factors of 82170 and 82190 and find the biggest common factor number .

Step-1: Prime Factorization of 82170

Prime factors of 82170 are 2, 3, 5, 11, 83. Prime factorization of 82170 in exponential form is:

82170 = 2¹ × 3² × 5¹ × 11¹ × 83¹

Step-2: Prime Factorization of 82190

Prime factors of 82190 are 2, 5, 8219. Prime factorization of 82190 in exponential form is:

82190 = 2¹ × 5¹ × 8219¹

Step-3: Factors of 82170

List of positive integer factors of 82170 that divides 82170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 83, 90, 99, 110, 165, 166, 198, 249, 330, 415, 495, 498, 747, 830, 913, 990, 1245, 1494, 1826, 2490, 2739, 3735, 4565, 5478, 7470, 8217, 9130, 13695, 16434, 27390, 41085

Step-4: Factors of 82190

List of positive integer factors of 82190 that divides 82170 without a remainder.

1, 2, 5, 10, 8219, 16438, 41095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82170 and 82190. The biggest common factor number is the GCF number.
So the greatest common factor 82170 and 82190 is 10.

Also check out the Least Common Multiple of 82170 and 82190