What is the Greatest Common Factor of 42436 and 42454?

Greatest common factor (GCF) of 42436 and 42454 is 2.

GCF(42436,42454) = 2

We will now calculate the prime factors of 42436 and 42454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42436 and 42454.

How to find the GCF of 42436 and 42454?

We will first find the prime factorization of 42436 and 42454. After we will calculate the factors of 42436 and 42454 and find the biggest common factor number .

Step-1: Prime Factorization of 42436

Prime factors of 42436 are 2, 103. Prime factorization of 42436 in exponential form is:

42436 = 2² × 103²

Step-2: Prime Factorization of 42454

Prime factors of 42454 are 2, 21227. Prime factorization of 42454 in exponential form is:

42454 = 2¹ × 21227¹

Step-3: Factors of 42436

List of positive integer factors of 42436 that divides 42436 without a remainder.

1, 2, 4, 103, 206, 412, 10609, 21218

Step-4: Factors of 42454

List of positive integer factors of 42454 that divides 42436 without a remainder.

1, 2, 21227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42436 and 42454. The biggest common factor number is the GCF number.
So the greatest common factor 42436 and 42454 is 2.

Also check out the Least Common Multiple of 42436 and 42454