What is the Greatest Common Factor of 17897 and 17916?

Greatest common factor (GCF) of 17897 and 17916 is 1.

GCF(17897,17916) = 1

We will now calculate the prime factors of 17897 and 17916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17897 and 17916.

How to find the GCF of 17897 and 17916?

We will first find the prime factorization of 17897 and 17916. After we will calculate the factors of 17897 and 17916 and find the biggest common factor number .

Step-1: Prime Factorization of 17897

Prime factors of 17897 are 11, 1627. Prime factorization of 17897 in exponential form is:

17897 = 11¹ × 1627¹

Step-2: Prime Factorization of 17916

Prime factors of 17916 are 2, 3, 1493. Prime factorization of 17916 in exponential form is:

17916 = 2² × 3¹ × 1493¹

Step-3: Factors of 17897

List of positive integer factors of 17897 that divides 17897 without a remainder.

1, 11, 1627

Step-4: Factors of 17916

List of positive integer factors of 17916 that divides 17897 without a remainder.

1, 2, 3, 4, 6, 12, 1493, 2986, 4479, 5972, 8958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17897 and 17916. The biggest common factor number is the GCF number.
So the greatest common factor 17897 and 17916 is 1.

Also check out the Least Common Multiple of 17897 and 17916