What is the Greatest Common Factor of 36162 and 36182?

Greatest common factor (GCF) of 36162 and 36182 is 2.

GCF(36162,36182) = 2

We will now calculate the prime factors of 36162 and 36182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36162 and 36182.

How to find the GCF of 36162 and 36182?

We will first find the prime factorization of 36162 and 36182. After we will calculate the factors of 36162 and 36182 and find the biggest common factor number .

Step-1: Prime Factorization of 36162

Prime factors of 36162 are 2, 3, 7, 41. Prime factorization of 36162 in exponential form is:

36162 = 2¹ × 3² × 7² × 41¹

Step-2: Prime Factorization of 36182

Prime factors of 36182 are 2, 79, 229. Prime factorization of 36182 in exponential form is:

36182 = 2¹ × 79¹ × 229¹

Step-3: Factors of 36162

List of positive integer factors of 36162 that divides 36162 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 49, 63, 82, 98, 123, 126, 147, 246, 287, 294, 369, 441, 574, 738, 861, 882, 1722, 2009, 2583, 4018, 5166, 6027, 12054, 18081

Step-4: Factors of 36182

List of positive integer factors of 36182 that divides 36162 without a remainder.

1, 2, 79, 158, 229, 458, 18091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36162 and 36182. The biggest common factor number is the GCF number.
So the greatest common factor 36162 and 36182 is 2.

Also check out the Least Common Multiple of 36162 and 36182