What is the Greatest Common Factor of 19376 and 19388?

Greatest common factor (GCF) of 19376 and 19388 is 4.

GCF(19376,19388) = 4

We will now calculate the prime factors of 19376 and 19388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19376 and 19388.

How to find the GCF of 19376 and 19388?

We will first find the prime factorization of 19376 and 19388. After we will calculate the factors of 19376 and 19388 and find the biggest common factor number .

Step-1: Prime Factorization of 19376

Prime factors of 19376 are 2, 7, 173. Prime factorization of 19376 in exponential form is:

19376 = 2⁴ × 7¹ × 173¹

Step-2: Prime Factorization of 19388

Prime factors of 19388 are 2, 37, 131. Prime factorization of 19388 in exponential form is:

19388 = 2² × 37¹ × 131¹

Step-3: Factors of 19376

List of positive integer factors of 19376 that divides 19376 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 173, 346, 692, 1211, 1384, 2422, 2768, 4844, 9688

Step-4: Factors of 19388

List of positive integer factors of 19388 that divides 19376 without a remainder.

1, 2, 4, 37, 74, 131, 148, 262, 524, 4847, 9694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19376 and 19388. The biggest common factor number is the GCF number.
So the greatest common factor 19376 and 19388 is 4.

Also check out the Least Common Multiple of 19376 and 19388