What is the Greatest Common Factor of 19388 and 19402?

Greatest common factor (GCF) of 19388 and 19402 is 2.

GCF(19388,19402) = 2

We will now calculate the prime factors of 19388 and 19402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19388 and 19402.

How to find the GCF of 19388 and 19402?

We will first find the prime factorization of 19388 and 19402. After we will calculate the factors of 19388 and 19402 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 19402

Prime factors of 19402 are 2, 89, 109. Prime factorization of 19402 in exponential form is:

19402 = 2¹ × 89¹ × 109¹

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 19402

List of positive integer factors of 19402 that divides 19388 without a remainder.

1, 2, 89, 109, 178, 218, 9701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19388 and 19402. The biggest common factor number is the GCF number.
So the greatest common factor 19388 and 19402 is 2.

Also check out the Least Common Multiple of 19388 and 19402