What is the Greatest Common Factor of 18989 and 19006?

Greatest common factor (GCF) of 18989 and 19006 is 17.

GCF(18989,19006) = 17

We will now calculate the prime factors of 18989 and 19006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18989 and 19006.

How to find the GCF of 18989 and 19006?

We will first find the prime factorization of 18989 and 19006. After we will calculate the factors of 18989 and 19006 and find the biggest common factor number .

Step-1: Prime Factorization of 18989

Prime factors of 18989 are 17, 1117. Prime factorization of 18989 in exponential form is:

18989 = 17¹ × 1117¹

Step-2: Prime Factorization of 19006

Prime factors of 19006 are 2, 13, 17, 43. Prime factorization of 19006 in exponential form is:

19006 = 2¹ × 13¹ × 17¹ × 43¹

Step-3: Factors of 18989

List of positive integer factors of 18989 that divides 18989 without a remainder.

1, 17, 1117

Step-4: Factors of 19006

List of positive integer factors of 19006 that divides 18989 without a remainder.

1, 2, 13, 17, 26, 34, 43, 86, 221, 442, 559, 731, 1118, 1462, 9503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18989 and 19006. The biggest common factor number is the GCF number.
So the greatest common factor 18989 and 19006 is 17.

Also check out the Least Common Multiple of 18989 and 19006