What is the Greatest Common Factor of 42214 and 42229?

Greatest common factor (GCF) of 42214 and 42229 is 1.

GCF(42214,42229) = 1

We will now calculate the prime factors of 42214 and 42229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42214 and 42229.

How to find the GCF of 42214 and 42229?

We will first find the prime factorization of 42214 and 42229. After we will calculate the factors of 42214 and 42229 and find the biggest common factor number .

Step-1: Prime Factorization of 42214

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

42214 = 2¹ × 21107¹

Step-2: Prime Factorization of 42229

Prime factors of 42229 are 11, 349. Prime factorization of 42229 in exponential form is:

42229 = 11² × 349¹

Step-3: Factors of 42214

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

1, 2, 21107

Step-4: Factors of 42229

List of positive integer factors of 42229 that divides 42214 without a remainder.

1, 11, 121, 349, 3839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42214 and 42229. The biggest common factor number is the GCF number.
So the greatest common factor 42214 and 42229 is 1.

Also check out the Least Common Multiple of 42214 and 42229