What is the Greatest Common Factor of 42214 and 42226?

Greatest common factor (GCF) of 42214 and 42226 is 2.

GCF(42214,42226) = 2

We will now calculate the prime factors of 42214 and 42226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42214 and 42226.

How to find the GCF of 42214 and 42226?

We will first find the prime factorization of 42214 and 42226. After we will calculate the factors of 42214 and 42226 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 42226

Prime factors of 42226 are 2, 43, 491. Prime factorization of 42226 in exponential form is:

42226 = 2¹ × 43¹ × 491¹

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 42226

List of positive integer factors of 42226 that divides 42214 without a remainder.

1, 2, 43, 86, 491, 982, 21113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42214 and 42226. The biggest common factor number is the GCF number.
So the greatest common factor 42214 and 42226 is 2.

Also check out the Least Common Multiple of 42214 and 42226