What is the Greatest Common Factor of 36142 and 36162?

Greatest common factor (GCF) of 36142 and 36162 is 2.

GCF(36142,36162) = 2

We will now calculate the prime factors of 36142 and 36162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36142 and 36162.

How to find the GCF of 36142 and 36162?

We will first find the prime factorization of 36142 and 36162. After we will calculate the factors of 36142 and 36162 and find the biggest common factor number .

Step-1: Prime Factorization of 36142

Prime factors of 36142 are 2, 17, 1063. Prime factorization of 36142 in exponential form is:

36142 = 2¹ × 17¹ × 1063¹

Step-2: 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-3: Factors of 36142

List of positive integer factors of 36142 that divides 36142 without a remainder.

1, 2, 17, 34, 1063, 2126, 18071

Step-4: Factors of 36162

List of positive integer factors of 36162 that divides 36142 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36142 and 36162. The biggest common factor number is the GCF number.
So the greatest common factor 36142 and 36162 is 2.

Also check out the Least Common Multiple of 36142 and 36162