What is the Greatest Common Factor of 18029 and 18042?

Greatest common factor (GCF) of 18029 and 18042 is 1.

GCF(18029,18042) = 1

We will now calculate the prime factors of 18029 and 18042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18029 and 18042.

How to find the GCF of 18029 and 18042?

We will first find the prime factorization of 18029 and 18042. After we will calculate the factors of 18029 and 18042 and find the biggest common factor number .

Step-1: Prime Factorization of 18029

Prime factors of 18029 are 11, 149. Prime factorization of 18029 in exponential form is:

18029 = 11² × 149¹

Step-2: Prime Factorization of 18042

Prime factors of 18042 are 2, 3, 31, 97. Prime factorization of 18042 in exponential form is:

18042 = 2¹ × 3¹ × 31¹ × 97¹

Step-3: Factors of 18029

List of positive integer factors of 18029 that divides 18029 without a remainder.

1, 11, 121, 149, 1639

Step-4: Factors of 18042

List of positive integer factors of 18042 that divides 18029 without a remainder.

1, 2, 3, 6, 31, 62, 93, 97, 186, 194, 291, 582, 3007, 6014, 9021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18029 and 18042. The biggest common factor number is the GCF number.
So the greatest common factor 18029 and 18042 is 1.

Also check out the Least Common Multiple of 18029 and 18042