What is the Greatest Common Factor of 18986 and 18997?

Greatest common factor (GCF) of 18986 and 18997 is 11.

GCF(18986,18997) = 11

We will now calculate the prime factors of 18986 and 18997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18986 and 18997.

How to find the GCF of 18986 and 18997?

We will first find the prime factorization of 18986 and 18997. After we will calculate the factors of 18986 and 18997 and find the biggest common factor number .

Step-1: Prime Factorization of 18986

Prime factors of 18986 are 2, 11, 863. Prime factorization of 18986 in exponential form is:

18986 = 2¹ × 11¹ × 863¹

Step-2: Prime Factorization of 18997

Prime factors of 18997 are 11, 157. Prime factorization of 18997 in exponential form is:

18997 = 11² × 157¹

Step-3: Factors of 18986

List of positive integer factors of 18986 that divides 18986 without a remainder.

1, 2, 11, 22, 863, 1726, 9493

Step-4: Factors of 18997

List of positive integer factors of 18997 that divides 18986 without a remainder.

1, 11, 121, 157, 1727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18986 and 18997. The biggest common factor number is the GCF number.
So the greatest common factor 18986 and 18997 is 11.

Also check out the Least Common Multiple of 18986 and 18997