What is the Greatest Common Factor of 17919 and 17936?

Greatest common factor (GCF) of 17919 and 17936 is 1.

GCF(17919,17936) = 1

We will now calculate the prime factors of 17919 and 17936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17919 and 17936.

How to find the GCF of 17919 and 17936?

We will first find the prime factorization of 17919 and 17936. After we will calculate the factors of 17919 and 17936 and find the biggest common factor number .

Step-1: Prime Factorization of 17919

Prime factors of 17919 are 3, 11, 181. Prime factorization of 17919 in exponential form is:

17919 = 3² × 11¹ × 181¹

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 17919

List of positive integer factors of 17919 that divides 17919 without a remainder.

1, 3, 9, 11, 33, 99, 181, 543, 1629, 1991, 5973

Step-4: Factors of 17936

List of positive integer factors of 17936 that divides 17919 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 17919 and 17936. The biggest common factor number is the GCF number.
So the greatest common factor 17919 and 17936 is 1.

Also check out the Least Common Multiple of 17919 and 17936