What is the Greatest Common Factor of 48178 and 48196?

Greatest common factor (GCF) of 48178 and 48196 is 2.

GCF(48178,48196) = 2

We will now calculate the prime factors of 48178 and 48196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48178 and 48196.

How to find the GCF of 48178 and 48196?

We will first find the prime factorization of 48178 and 48196. After we will calculate the factors of 48178 and 48196 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 48196

Prime factors of 48196 are 2, 12049. Prime factorization of 48196 in exponential form is:

48196 = 2² × 12049¹

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 48196

List of positive integer factors of 48196 that divides 48178 without a remainder.

1, 2, 4, 12049, 24098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48178 and 48196. The biggest common factor number is the GCF number.
So the greatest common factor 48178 and 48196 is 2.

Also check out the Least Common Multiple of 48178 and 48196