What is the Greatest Common Factor of 19721 and 19730?

Greatest common factor (GCF) of 19721 and 19730 is 1.

GCF(19721,19730) = 1

We will now calculate the prime factors of 19721 and 19730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19721 and 19730.

How to find the GCF of 19721 and 19730?

We will first find the prime factorization of 19721 and 19730. After we will calculate the factors of 19721 and 19730 and find the biggest common factor number .

Step-1: Prime Factorization of 19721

Prime factors of 19721 are 13, 37, 41. Prime factorization of 19721 in exponential form is:

19721 = 13¹ × 37¹ × 41¹

Step-2: Prime Factorization of 19730

Prime factors of 19730 are 2, 5, 1973. Prime factorization of 19730 in exponential form is:

19730 = 2¹ × 5¹ × 1973¹

Step-3: Factors of 19721

List of positive integer factors of 19721 that divides 19721 without a remainder.

1, 13, 37, 41, 481, 533, 1517

Step-4: Factors of 19730

List of positive integer factors of 19730 that divides 19721 without a remainder.

1, 2, 5, 10, 1973, 3946, 9865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19721 and 19730. The biggest common factor number is the GCF number.
So the greatest common factor 19721 and 19730 is 1.

Also check out the Least Common Multiple of 19721 and 19730