What is the Greatest Common Factor of 19716 and 19721?

Greatest common factor (GCF) of 19716 and 19721 is 1.

GCF(19716,19721) = 1

We will now calculate the prime factors of 19716 and 19721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19716 and 19721.

How to find the GCF of 19716 and 19721?

We will first find the prime factorization of 19716 and 19721. After we will calculate the factors of 19716 and 19721 and find the biggest common factor number .

Step-1: Prime Factorization of 19716

Prime factors of 19716 are 2, 3, 31, 53. Prime factorization of 19716 in exponential form is:

19716 = 2² × 3¹ × 31¹ × 53¹

Step-2: 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-3: Factors of 19716

List of positive integer factors of 19716 that divides 19716 without a remainder.

1, 2, 3, 4, 6, 12, 31, 53, 62, 93, 106, 124, 159, 186, 212, 318, 372, 636, 1643, 3286, 4929, 6572, 9858

Step-4: Factors of 19721

List of positive integer factors of 19721 that divides 19716 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19716 and 19721. The biggest common factor number is the GCF number.
So the greatest common factor 19716 and 19721 is 1.

Also check out the Least Common Multiple of 19716 and 19721