What is the Greatest Common Factor of 17897 and 17908?

Greatest common factor (GCF) of 17897 and 17908 is 11.

GCF(17897,17908) = 11

We will now calculate the prime factors of 17897 and 17908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17897 and 17908.

How to find the GCF of 17897 and 17908?

We will first find the prime factorization of 17897 and 17908. After we will calculate the factors of 17897 and 17908 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 17908

Prime factors of 17908 are 2, 11, 37. Prime factorization of 17908 in exponential form is:

17908 = 2² × 11² × 37¹

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 17908

List of positive integer factors of 17908 that divides 17897 without a remainder.

1, 2, 4, 11, 22, 37, 44, 74, 121, 148, 242, 407, 484, 814, 1628, 4477, 8954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17897 and 17908. The biggest common factor number is the GCF number.
So the greatest common factor 17897 and 17908 is 11.

Also check out the Least Common Multiple of 17897 and 17908