What is the Greatest Common Factor of 42338 and 42342?

Greatest common factor (GCF) of 42338 and 42342 is 2.

GCF(42338,42342) = 2

We will now calculate the prime factors of 42338 and 42342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42338 and 42342.

How to find the GCF of 42338 and 42342?

We will first find the prime factorization of 42338 and 42342. After we will calculate the factors of 42338 and 42342 and find the biggest common factor number .

Step-1: Prime Factorization of 42338

Prime factors of 42338 are 2, 21169. Prime factorization of 42338 in exponential form is:

42338 = 2¹ × 21169¹

Step-2: Prime Factorization of 42342

Prime factors of 42342 are 2, 3, 7057. Prime factorization of 42342 in exponential form is:

42342 = 2¹ × 3¹ × 7057¹

Step-3: Factors of 42338

List of positive integer factors of 42338 that divides 42338 without a remainder.

1, 2, 21169

Step-4: Factors of 42342

List of positive integer factors of 42342 that divides 42338 without a remainder.

1, 2, 3, 6, 7057, 14114, 21171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42338 and 42342. The biggest common factor number is the GCF number.
So the greatest common factor 42338 and 42342 is 2.

Also check out the Least Common Multiple of 42338 and 42342