What is the Greatest Common Factor of 17993 and 18012?

Greatest common factor (GCF) of 17993 and 18012 is 19.

GCF(17993,18012) = 19

We will now calculate the prime factors of 17993 and 18012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17993 and 18012.

How to find the GCF of 17993 and 18012?

We will first find the prime factorization of 17993 and 18012. After we will calculate the factors of 17993 and 18012 and find the biggest common factor number .

Step-1: Prime Factorization of 17993

Prime factors of 17993 are 19, 947. Prime factorization of 17993 in exponential form is:

17993 = 19¹ × 947¹

Step-2: Prime Factorization of 18012

Prime factors of 18012 are 2, 3, 19, 79. Prime factorization of 18012 in exponential form is:

18012 = 2² × 3¹ × 19¹ × 79¹

Step-3: Factors of 17993

List of positive integer factors of 17993 that divides 17993 without a remainder.

1, 19, 947

Step-4: Factors of 18012

List of positive integer factors of 18012 that divides 17993 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 79, 114, 158, 228, 237, 316, 474, 948, 1501, 3002, 4503, 6004, 9006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17993 and 18012. The biggest common factor number is the GCF number.
So the greatest common factor 17993 and 18012 is 19.

Also check out the Least Common Multiple of 17993 and 18012