What is the Greatest Common Factor of 18342 and 18354?

Greatest common factor (GCF) of 18342 and 18354 is 6.

GCF(18342,18354) = 6

We will now calculate the prime factors of 18342 and 18354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18342 and 18354.

How to find the GCF of 18342 and 18354?

We will first find the prime factorization of 18342 and 18354. After we will calculate the factors of 18342 and 18354 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 18354

Prime factors of 18354 are 2, 3, 7, 19, 23. Prime factorization of 18354 in exponential form is:

18354 = 2¹ × 3¹ × 7¹ × 19¹ × 23¹

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 18354

List of positive integer factors of 18354 that divides 18342 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 23, 38, 42, 46, 57, 69, 114, 133, 138, 161, 266, 322, 399, 437, 483, 798, 874, 966, 1311, 2622, 3059, 6118, 9177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18342 and 18354. The biggest common factor number is the GCF number.
So the greatest common factor 18342 and 18354 is 6.

Also check out the Least Common Multiple of 18342 and 18354