What is the Greatest Common Factor of 43382 and 43386?

Greatest common factor (GCF) of 43382 and 43386 is 2.

GCF(43382,43386) = 2

We will now calculate the prime factors of 43382 and 43386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43382 and 43386.

How to find the GCF of 43382 and 43386?

We will first find the prime factorization of 43382 and 43386. After we will calculate the factors of 43382 and 43386 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 43386

Prime factors of 43386 are 2, 3, 7, 1033. Prime factorization of 43386 in exponential form is:

43386 = 2¹ × 3¹ × 7¹ × 1033¹

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 43386

List of positive integer factors of 43386 that divides 43382 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1033, 2066, 3099, 6198, 7231, 14462, 21693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43382 and 43386. The biggest common factor number is the GCF number.
So the greatest common factor 43382 and 43386 is 2.

Also check out the Least Common Multiple of 43382 and 43386