What is the Greatest Common Factor of 42454 and 42461?

Greatest common factor (GCF) of 42454 and 42461 is 1.

GCF(42454,42461) = 1

We will now calculate the prime factors of 42454 and 42461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42454 and 42461.

How to find the GCF of 42454 and 42461?

We will first find the prime factorization of 42454 and 42461. After we will calculate the factors of 42454 and 42461 and find the biggest common factor number .

Step-1: Prime Factorization of 42454

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

42454 = 2¹ × 21227¹

Step-2: Prime Factorization of 42461

Prime factors of 42461 are 42461. Prime factorization of 42461 in exponential form is:

42461 = 42461¹

Step-3: Factors of 42454

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

1, 2, 21227

Step-4: Factors of 42461

List of positive integer factors of 42461 that divides 42454 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42454 and 42461. The biggest common factor number is the GCF number.
So the greatest common factor 42454 and 42461 is 1.

Also check out the Least Common Multiple of 42454 and 42461