What is the Greatest Common Factor of 39146 and 39162?

Greatest common factor (GCF) of 39146 and 39162 is 2.

GCF(39146,39162) = 2

We will now calculate the prime factors of 39146 and 39162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39146 and 39162.

How to find the GCF of 39146 and 39162?

We will first find the prime factorization of 39146 and 39162. After we will calculate the factors of 39146 and 39162 and find the biggest common factor number .

Step-1: Prime Factorization of 39146

Prime factors of 39146 are 2, 23, 37. Prime factorization of 39146 in exponential form is:

39146 = 2¹ × 23² × 37¹

Step-2: Prime Factorization of 39162

Prime factors of 39162 are 2, 3, 61, 107. Prime factorization of 39162 in exponential form is:

39162 = 2¹ × 3¹ × 61¹ × 107¹

Step-3: Factors of 39146

List of positive integer factors of 39146 that divides 39146 without a remainder.

1, 2, 23, 37, 46, 74, 529, 851, 1058, 1702, 19573

Step-4: Factors of 39162

List of positive integer factors of 39162 that divides 39146 without a remainder.

1, 2, 3, 6, 61, 107, 122, 183, 214, 321, 366, 642, 6527, 13054, 19581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39146 and 39162. The biggest common factor number is the GCF number.
So the greatest common factor 39146 and 39162 is 2.

Also check out the Least Common Multiple of 39146 and 39162