What is the Greatest Common Factor of 17917 and 17936?

Greatest common factor (GCF) of 17917 and 17936 is 19.

GCF(17917,17936) = 19

We will now calculate the prime factors of 17917 and 17936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17917 and 17936.

How to find the GCF of 17917 and 17936?

We will first find the prime factorization of 17917 and 17936. After we will calculate the factors of 17917 and 17936 and find the biggest common factor number .

Step-1: Prime Factorization of 17917

Prime factors of 17917 are 19, 23, 41. Prime factorization of 17917 in exponential form is:

17917 = 19¹ × 23¹ × 41¹

Step-2: Prime Factorization of 17936

Prime factors of 17936 are 2, 19, 59. Prime factorization of 17936 in exponential form is:

17936 = 2⁴ × 19¹ × 59¹

Step-3: Factors of 17917

List of positive integer factors of 17917 that divides 17917 without a remainder.

1, 19, 23, 41, 437, 779, 943

Step-4: Factors of 17936

List of positive integer factors of 17936 that divides 17917 without a remainder.

1, 2, 4, 8, 16, 19, 38, 59, 76, 118, 152, 236, 304, 472, 944, 1121, 2242, 4484, 8968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17917 and 17936. The biggest common factor number is the GCF number.
So the greatest common factor 17917 and 17936 is 19.

Also check out the Least Common Multiple of 17917 and 17936