What is the Greatest Common Factor of 18124 and 18142?

Greatest common factor (GCF) of 18124 and 18142 is 2.

GCF(18124,18142) = 2

We will now calculate the prime factors of 18124 and 18142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18124 and 18142.

How to find the GCF of 18124 and 18142?

We will first find the prime factorization of 18124 and 18142. After we will calculate the factors of 18124 and 18142 and find the biggest common factor number .

Step-1: Prime Factorization of 18124

Prime factors of 18124 are 2, 23, 197. Prime factorization of 18124 in exponential form is:

18124 = 2² × 23¹ × 197¹

Step-2: Prime Factorization of 18142

Prime factors of 18142 are 2, 47, 193. Prime factorization of 18142 in exponential form is:

18142 = 2¹ × 47¹ × 193¹

Step-3: Factors of 18124

List of positive integer factors of 18124 that divides 18124 without a remainder.

1, 2, 4, 23, 46, 92, 197, 394, 788, 4531, 9062

Step-4: Factors of 18142

List of positive integer factors of 18142 that divides 18124 without a remainder.

1, 2, 47, 94, 193, 386, 9071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18124 and 18142. The biggest common factor number is the GCF number.
So the greatest common factor 18124 and 18142 is 2.

Also check out the Least Common Multiple of 18124 and 18142