What is the Greatest Common Factor of 19897 and 19916?

Greatest common factor (GCF) of 19897 and 19916 is 1.

GCF(19897,19916) = 1

We will now calculate the prime factors of 19897 and 19916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19897 and 19916.

How to find the GCF of 19897 and 19916?

We will first find the prime factorization of 19897 and 19916. After we will calculate the factors of 19897 and 19916 and find the biggest common factor number .

Step-1: Prime Factorization of 19897

Prime factors of 19897 are 101, 197. Prime factorization of 19897 in exponential form is:

19897 = 101¹ × 197¹

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 19897

List of positive integer factors of 19897 that divides 19897 without a remainder.

1, 101, 197

Step-4: Factors of 19916

List of positive integer factors of 19916 that divides 19897 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 19897 and 19916. The biggest common factor number is the GCF number.
So the greatest common factor 19897 and 19916 is 1.

Also check out the Least Common Multiple of 19897 and 19916