What is the Greatest Common Factor of 17908 and 17916?

Greatest common factor (GCF) of 17908 and 17916 is 4.

GCF(17908,17916) = 4

We will now calculate the prime factors of 17908 and 17916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17908 and 17916.

How to find the GCF of 17908 and 17916?

We will first find the prime factorization of 17908 and 17916. After we will calculate the factors of 17908 and 17916 and find the biggest common factor number .

Step-1: 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-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 17908

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

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

Step-4: Factors of 17916

List of positive integer factors of 17916 that divides 17908 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 17908 and 17916. The biggest common factor number is the GCF number.
So the greatest common factor 17908 and 17916 is 4.

Also check out the Least Common Multiple of 17908 and 17916