What is the Greatest Common Factor of 19729 and 19742?

Greatest common factor (GCF) of 19729 and 19742 is 1.

GCF(19729,19742) = 1

We will now calculate the prime factors of 19729 and 19742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19729 and 19742.

How to find the GCF of 19729 and 19742?

We will first find the prime factorization of 19729 and 19742. After we will calculate the factors of 19729 and 19742 and find the biggest common factor number .

Step-1: Prime Factorization of 19729

Prime factors of 19729 are 109, 181. Prime factorization of 19729 in exponential form is:

19729 = 109¹ × 181¹

Step-2: Prime Factorization of 19742

Prime factors of 19742 are 2, 9871. Prime factorization of 19742 in exponential form is:

19742 = 2¹ × 9871¹

Step-3: Factors of 19729

List of positive integer factors of 19729 that divides 19729 without a remainder.

1, 109, 181

Step-4: Factors of 19742

List of positive integer factors of 19742 that divides 19729 without a remainder.

1, 2, 9871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19729 and 19742. The biggest common factor number is the GCF number.
So the greatest common factor 19729 and 19742 is 1.

Also check out the Least Common Multiple of 19729 and 19742