What is the Greatest Common Factor of 82170 and 82179?

Greatest common factor (GCF) of 82170 and 82179 is 9.

GCF(82170,82179) = 9

We will now calculate the prime factors of 82170 and 82179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82170 and 82179.

How to find the GCF of 82170 and 82179?

We will first find the prime factorization of 82170 and 82179. After we will calculate the factors of 82170 and 82179 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 82179

Prime factors of 82179 are 3, 23, 397. Prime factorization of 82179 in exponential form is:

82179 = 3² × 23¹ × 397¹

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 82179

List of positive integer factors of 82179 that divides 82170 without a remainder.

1, 3, 9, 23, 69, 207, 397, 1191, 3573, 9131, 27393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82170 and 82179. The biggest common factor number is the GCF number.
So the greatest common factor 82170 and 82179 is 9.

Also check out the Least Common Multiple of 82170 and 82179