What is the Greatest Common Factor of 18012 and 18031?

Greatest common factor (GCF) of 18012 and 18031 is 19.

GCF(18012,18031) = 19

We will now calculate the prime factors of 18012 and 18031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18012 and 18031.

How to find the GCF of 18012 and 18031?

We will first find the prime factorization of 18012 and 18031. After we will calculate the factors of 18012 and 18031 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 18012

List of positive integer factors of 18012 that divides 18012 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

Step-4: Factors of 18031

List of positive integer factors of 18031 that divides 18012 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18012 and 18031. The biggest common factor number is the GCF number.
So the greatest common factor 18012 and 18031 is 19.

Also check out the Least Common Multiple of 18012 and 18031