What is the Greatest Common Factor of 19738 and 19743?

Greatest common factor (GCF) of 19738 and 19743 is 1.

GCF(19738,19743) = 1

We will now calculate the prime factors of 19738 and 19743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19738 and 19743.

How to find the GCF of 19738 and 19743?

We will first find the prime factorization of 19738 and 19743. After we will calculate the factors of 19738 and 19743 and find the biggest common factor number .

Step-1: Prime Factorization of 19738

Prime factors of 19738 are 2, 71, 139. Prime factorization of 19738 in exponential form is:

19738 = 2¹ × 71¹ × 139¹

Step-2: Prime Factorization of 19743

Prime factors of 19743 are 3, 6581. Prime factorization of 19743 in exponential form is:

19743 = 3¹ × 6581¹

Step-3: Factors of 19738

List of positive integer factors of 19738 that divides 19738 without a remainder.

1, 2, 71, 139, 142, 278, 9869

Step-4: Factors of 19743

List of positive integer factors of 19743 that divides 19738 without a remainder.

1, 3, 6581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19738 and 19743. The biggest common factor number is the GCF number.
So the greatest common factor 19738 and 19743 is 1.

Also check out the Least Common Multiple of 19738 and 19743