What is the Greatest Common Factor of 43382 and 43402?

Greatest common factor (GCF) of 43382 and 43402 is 2.

GCF(43382,43402) = 2

We will now calculate the prime factors of 43382 and 43402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43382 and 43402.

How to find the GCF of 43382 and 43402?

We will first find the prime factorization of 43382 and 43402. After we will calculate the factors of 43382 and 43402 and find the biggest common factor number .

Step-1: Prime Factorization of 43382

Prime factors of 43382 are 2, 109, 199. Prime factorization of 43382 in exponential form is:

43382 = 2¹ × 109¹ × 199¹

Step-2: Prime Factorization of 43402

Prime factors of 43402 are 2, 21701. Prime factorization of 43402 in exponential form is:

43402 = 2¹ × 21701¹

Step-3: Factors of 43382

List of positive integer factors of 43382 that divides 43382 without a remainder.

1, 2, 109, 199, 218, 398, 21691

Step-4: Factors of 43402

List of positive integer factors of 43402 that divides 43382 without a remainder.

1, 2, 21701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43382 and 43402. The biggest common factor number is the GCF number.
So the greatest common factor 43382 and 43402 is 2.

Also check out the Least Common Multiple of 43382 and 43402