What is the Greatest Common Factor of 16378 and 16388?

Greatest common factor (GCF) of 16378 and 16388 is 2.

GCF(16378,16388) = 2

We will now calculate the prime factors of 16378 and 16388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16378 and 16388.

How to find the GCF of 16378 and 16388?

We will first find the prime factorization of 16378 and 16388. After we will calculate the factors of 16378 and 16388 and find the biggest common factor number .

Step-1: Prime Factorization of 16378

Prime factors of 16378 are 2, 19, 431. Prime factorization of 16378 in exponential form is:

16378 = 2¹ × 19¹ × 431¹

Step-2: Prime Factorization of 16388

Prime factors of 16388 are 2, 17, 241. Prime factorization of 16388 in exponential form is:

16388 = 2² × 17¹ × 241¹

Step-3: Factors of 16378

List of positive integer factors of 16378 that divides 16378 without a remainder.

1, 2, 19, 38, 431, 862, 8189

Step-4: Factors of 16388

List of positive integer factors of 16388 that divides 16378 without a remainder.

1, 2, 4, 17, 34, 68, 241, 482, 964, 4097, 8194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16378 and 16388. The biggest common factor number is the GCF number.
So the greatest common factor 16378 and 16388 is 2.

Also check out the Least Common Multiple of 16378 and 16388