What is the Greatest Common Factor of 43234 and 43242?

Greatest common factor (GCF) of 43234 and 43242 is 2.

GCF(43234,43242) = 2

We will now calculate the prime factors of 43234 and 43242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43234 and 43242.

How to find the GCF of 43234 and 43242?

We will first find the prime factorization of 43234 and 43242. After we will calculate the factors of 43234 and 43242 and find the biggest common factor number .

Step-1: Prime Factorization of 43234

Prime factors of 43234 are 2, 21617. Prime factorization of 43234 in exponential form is:

43234 = 2¹ × 21617¹

Step-2: Prime Factorization of 43242

Prime factors of 43242 are 2, 3, 7207. Prime factorization of 43242 in exponential form is:

43242 = 2¹ × 3¹ × 7207¹

Step-3: Factors of 43234

List of positive integer factors of 43234 that divides 43234 without a remainder.

1, 2, 21617

Step-4: Factors of 43242

List of positive integer factors of 43242 that divides 43234 without a remainder.

1, 2, 3, 6, 7207, 14414, 21621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43234 and 43242. The biggest common factor number is the GCF number.
So the greatest common factor 43234 and 43242 is 2.

Also check out the Least Common Multiple of 43234 and 43242