What is the Greatest Common Factor of 18342 and 18362?

Greatest common factor (GCF) of 18342 and 18362 is 2.

GCF(18342,18362) = 2

We will now calculate the prime factors of 18342 and 18362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18342 and 18362.

How to find the GCF of 18342 and 18362?

We will first find the prime factorization of 18342 and 18362. After we will calculate the factors of 18342 and 18362 and find the biggest common factor number .

Step-1: Prime Factorization of 18342

Prime factors of 18342 are 2, 3, 1019. Prime factorization of 18342 in exponential form is:

18342 = 2¹ × 3² × 1019¹

Step-2: Prime Factorization of 18362

Prime factors of 18362 are 2, 9181. Prime factorization of 18362 in exponential form is:

18362 = 2¹ × 9181¹

Step-3: Factors of 18342

List of positive integer factors of 18342 that divides 18342 without a remainder.

1, 2, 3, 6, 9, 18, 1019, 2038, 3057, 6114, 9171

Step-4: Factors of 18362

List of positive integer factors of 18362 that divides 18342 without a remainder.

1, 2, 9181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18342 and 18362. The biggest common factor number is the GCF number.
So the greatest common factor 18342 and 18362 is 2.

Also check out the Least Common Multiple of 18342 and 18362