What is the Greatest Common Factor of 48146 and 48158?

Greatest common factor (GCF) of 48146 and 48158 is 2.

GCF(48146,48158) = 2

We will now calculate the prime factors of 48146 and 48158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48146 and 48158.

How to find the GCF of 48146 and 48158?

We will first find the prime factorization of 48146 and 48158. After we will calculate the factors of 48146 and 48158 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 48158

Prime factors of 48158 are 2, 11, 199. Prime factorization of 48158 in exponential form is:

48158 = 2¹ × 11² × 199¹

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 48158

List of positive integer factors of 48158 that divides 48146 without a remainder.

1, 2, 11, 22, 121, 199, 242, 398, 2189, 4378, 24079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48146 and 48158. The biggest common factor number is the GCF number.
So the greatest common factor 48146 and 48158 is 2.

Also check out the Least Common Multiple of 48146 and 48158