What is the Greatest Common Factor of 39146 and 39152?

Greatest common factor (GCF) of 39146 and 39152 is 2.

GCF(39146,39152) = 2

We will now calculate the prime factors of 39146 and 39152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39146 and 39152.

How to find the GCF of 39146 and 39152?

We will first find the prime factorization of 39146 and 39152. After we will calculate the factors of 39146 and 39152 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 39152

Prime factors of 39152 are 2, 2447. Prime factorization of 39152 in exponential form is:

39152 = 2⁴ × 2447¹

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 39152

List of positive integer factors of 39152 that divides 39146 without a remainder.

1, 2, 4, 8, 16, 2447, 4894, 9788, 19576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39146 and 39152. The biggest common factor number is the GCF number.
So the greatest common factor 39146 and 39152 is 2.

Also check out the Least Common Multiple of 39146 and 39152