What is the Greatest Common Factor of 19909 and 19916?

Greatest common factor (GCF) of 19909 and 19916 is 1.

GCF(19909,19916) = 1

We will now calculate the prime factors of 19909 and 19916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19909 and 19916.

How to find the GCF of 19909 and 19916?

We will first find the prime factorization of 19909 and 19916. After we will calculate the factors of 19909 and 19916 and find the biggest common factor number .

Step-1: Prime Factorization of 19909

Prime factors of 19909 are 43, 463. Prime factorization of 19909 in exponential form is:

19909 = 43¹ × 463¹

Step-2: Prime Factorization of 19916

Prime factors of 19916 are 2, 13, 383. Prime factorization of 19916 in exponential form is:

19916 = 2² × 13¹ × 383¹

Step-3: Factors of 19909

List of positive integer factors of 19909 that divides 19909 without a remainder.

1, 43, 463

Step-4: Factors of 19916

List of positive integer factors of 19916 that divides 19909 without a remainder.

1, 2, 4, 13, 26, 52, 383, 766, 1532, 4979, 9958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19909 and 19916. The biggest common factor number is the GCF number.
So the greatest common factor 19909 and 19916 is 1.

Also check out the Least Common Multiple of 19909 and 19916