What is the Greatest Common Factor of 18031 and 18047?

Greatest common factor (GCF) of 18031 and 18047 is 1.

GCF(18031,18047) = 1

We will now calculate the prime factors of 18031 and 18047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18031 and 18047.

How to find the GCF of 18031 and 18047?

We will first find the prime factorization of 18031 and 18047. After we will calculate the factors of 18031 and 18047 and find the biggest common factor number .

Step-1: Prime Factorization of 18031

Prime factors of 18031 are 13, 19, 73. Prime factorization of 18031 in exponential form is:

18031 = 13¹ × 19¹ × 73¹

Step-2: Prime Factorization of 18047

Prime factors of 18047 are 18047. Prime factorization of 18047 in exponential form is:

18047 = 18047¹

Step-3: Factors of 18031

List of positive integer factors of 18031 that divides 18031 without a remainder.

1, 13, 19, 73, 247, 949, 1387

Step-4: Factors of 18047

List of positive integer factors of 18047 that divides 18031 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18031 and 18047. The biggest common factor number is the GCF number.
So the greatest common factor 18031 and 18047 is 1.

Also check out the Least Common Multiple of 18031 and 18047