What is the Greatest Common Factor of 42205 and 42214?

Greatest common factor (GCF) of 42205 and 42214 is 1.

GCF(42205,42214) = 1

We will now calculate the prime factors of 42205 and 42214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42205 and 42214.

How to find the GCF of 42205 and 42214?

We will first find the prime factorization of 42205 and 42214. After we will calculate the factors of 42205 and 42214 and find the biggest common factor number .

Step-1: Prime Factorization of 42205

Prime factors of 42205 are 5, 23, 367. Prime factorization of 42205 in exponential form is:

42205 = 5¹ × 23¹ × 367¹

Step-2: Prime Factorization of 42214

Prime factors of 42214 are 2, 21107. Prime factorization of 42214 in exponential form is:

42214 = 2¹ × 21107¹

Step-3: Factors of 42205

List of positive integer factors of 42205 that divides 42205 without a remainder.

1, 5, 23, 115, 367, 1835, 8441

Step-4: Factors of 42214

List of positive integer factors of 42214 that divides 42205 without a remainder.

1, 2, 21107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42205 and 42214. The biggest common factor number is the GCF number.
So the greatest common factor 42205 and 42214 is 1.

Also check out the Least Common Multiple of 42205 and 42214