What is the Greatest Common Factor of 18967 and 18981?

Greatest common factor (GCF) of 18967 and 18981 is 1.

GCF(18967,18981) = 1

We will now calculate the prime factors of 18967 and 18981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18967 and 18981.

How to find the GCF of 18967 and 18981?

We will first find the prime factorization of 18967 and 18981. After we will calculate the factors of 18967 and 18981 and find the biggest common factor number .

Step-1: Prime Factorization of 18967

Prime factors of 18967 are 13, 1459. Prime factorization of 18967 in exponential form is:

18967 = 13¹ × 1459¹

Step-2: Prime Factorization of 18981

Prime factors of 18981 are 3, 19, 37. Prime factorization of 18981 in exponential form is:

18981 = 3³ × 19¹ × 37¹

Step-3: Factors of 18967

List of positive integer factors of 18967 that divides 18967 without a remainder.

1, 13, 1459

Step-4: Factors of 18981

List of positive integer factors of 18981 that divides 18967 without a remainder.

1, 3, 9, 19, 27, 37, 57, 111, 171, 333, 513, 703, 999, 2109, 6327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18967 and 18981. The biggest common factor number is the GCF number.
So the greatest common factor 18967 and 18981 is 1.

Also check out the Least Common Multiple of 18967 and 18981