What is the Greatest Common Factor of 48178 and 48191?

Greatest common factor (GCF) of 48178 and 48191 is 13.

GCF(48178,48191) = 13

We will now calculate the prime factors of 48178 and 48191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48178 and 48191.

How to find the GCF of 48178 and 48191?

We will first find the prime factorization of 48178 and 48191. After we will calculate the factors of 48178 and 48191 and find the biggest common factor number .

Step-1: Prime Factorization of 48178

Prime factors of 48178 are 2, 13, 17, 109. Prime factorization of 48178 in exponential form is:

48178 = 2¹ × 13¹ × 17¹ × 109¹

Step-2: Prime Factorization of 48191

Prime factors of 48191 are 11, 13, 337. Prime factorization of 48191 in exponential form is:

48191 = 11¹ × 13¹ × 337¹

Step-3: Factors of 48178

List of positive integer factors of 48178 that divides 48178 without a remainder.

1, 2, 13, 17, 26, 34, 109, 218, 221, 442, 1417, 1853, 2834, 3706, 24089

Step-4: Factors of 48191

List of positive integer factors of 48191 that divides 48178 without a remainder.

1, 11, 13, 143, 337, 3707, 4381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48178 and 48191. The biggest common factor number is the GCF number.
So the greatest common factor 48178 and 48191 is 13.

Also check out the Least Common Multiple of 48178 and 48191