What is the Greatest Common Factor of 19388 and 19396?

Greatest common factor (GCF) of 19388 and 19396 is 4.

GCF(19388,19396) = 4

We will now calculate the prime factors of 19388 and 19396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19388 and 19396.

How to find the GCF of 19388 and 19396?

We will first find the prime factorization of 19388 and 19396. After we will calculate the factors of 19388 and 19396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19396

Prime factors of 19396 are 2, 13, 373. Prime factorization of 19396 in exponential form is:

19396 = 2² × 13¹ × 373¹

Step-3: Factors of 19388

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

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

Step-4: Factors of 19396

List of positive integer factors of 19396 that divides 19388 without a remainder.

1, 2, 4, 13, 26, 52, 373, 746, 1492, 4849, 9698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19388 and 19396. The biggest common factor number is the GCF number.
So the greatest common factor 19388 and 19396 is 4.

Also check out the Least Common Multiple of 19388 and 19396