What is the Greatest Common Factor of 48146 and 48165?

Greatest common factor (GCF) of 48146 and 48165 is 19.

GCF(48146,48165) = 19

We will now calculate the prime factors of 48146 and 48165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48146 and 48165.

How to find the GCF of 48146 and 48165?

We will first find the prime factorization of 48146 and 48165. After we will calculate the factors of 48146 and 48165 and find the biggest common factor number .

Step-1: Prime Factorization of 48146

Prime factors of 48146 are 2, 7, 19, 181. Prime factorization of 48146 in exponential form is:

48146 = 2¹ × 7¹ × 19¹ × 181¹

Step-2: Prime Factorization of 48165

Prime factors of 48165 are 3, 5, 13, 19. Prime factorization of 48165 in exponential form is:

48165 = 3¹ × 5¹ × 13² × 19¹

Step-3: Factors of 48146

List of positive integer factors of 48146 that divides 48146 without a remainder.

1, 2, 7, 14, 19, 38, 133, 181, 266, 362, 1267, 2534, 3439, 6878, 24073

Step-4: Factors of 48165

List of positive integer factors of 48165 that divides 48146 without a remainder.

1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 169, 195, 247, 285, 507, 741, 845, 1235, 2535, 3211, 3705, 9633, 16055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48146 and 48165. The biggest common factor number is the GCF number.
So the greatest common factor 48146 and 48165 is 19.

Also check out the Least Common Multiple of 48146 and 48165