What is the Greatest Common Factor of 38162 and 38178?

Greatest common factor (GCF) of 38162 and 38178 is 2.

GCF(38162,38178) = 2

We will now calculate the prime factors of 38162 and 38178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38162 and 38178.

How to find the GCF of 38162 and 38178?

We will first find the prime factorization of 38162 and 38178. After we will calculate the factors of 38162 and 38178 and find the biggest common factor number .

Step-1: Prime Factorization of 38162

Prime factors of 38162 are 2, 19081. Prime factorization of 38162 in exponential form is:

38162 = 2¹ × 19081¹

Step-2: Prime Factorization of 38178

Prime factors of 38178 are 2, 3, 7, 101. Prime factorization of 38178 in exponential form is:

38178 = 2¹ × 3³ × 7¹ × 101¹

Step-3: Factors of 38162

List of positive integer factors of 38162 that divides 38162 without a remainder.

1, 2, 19081

Step-4: Factors of 38178

List of positive integer factors of 38178 that divides 38162 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 101, 126, 189, 202, 303, 378, 606, 707, 909, 1414, 1818, 2121, 2727, 4242, 5454, 6363, 12726, 19089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38162 and 38178. The biggest common factor number is the GCF number.
So the greatest common factor 38162 and 38178 is 2.

Also check out the Least Common Multiple of 38162 and 38178