What is the Greatest Common Factor of 42338 and 42353?

Greatest common factor (GCF) of 42338 and 42353 is 1.

GCF(42338,42353) = 1

We will now calculate the prime factors of 42338 and 42353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42338 and 42353.

How to find the GCF of 42338 and 42353?

We will first find the prime factorization of 42338 and 42353. After we will calculate the factors of 42338 and 42353 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 42353

Prime factors of 42353 are 41, 1033. Prime factorization of 42353 in exponential form is:

42353 = 41¹ × 1033¹

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 42353

List of positive integer factors of 42353 that divides 42338 without a remainder.

1, 41, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42338 and 42353. The biggest common factor number is the GCF number.
So the greatest common factor 42338 and 42353 is 1.

Also check out the Least Common Multiple of 42338 and 42353