What is the Greatest Common Factor of 43328 and 43338?

Greatest common factor (GCF) of 43328 and 43338 is 2.

GCF(43328,43338) = 2

We will now calculate the prime factors of 43328 and 43338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43328 and 43338.

How to find the GCF of 43328 and 43338?

We will first find the prime factorization of 43328 and 43338. After we will calculate the factors of 43328 and 43338 and find the biggest common factor number .

Step-1: Prime Factorization of 43328

Prime factors of 43328 are 2, 677. Prime factorization of 43328 in exponential form is:

43328 = 2⁶ × 677¹

Step-2: Prime Factorization of 43338

Prime factors of 43338 are 2, 3, 31, 233. Prime factorization of 43338 in exponential form is:

43338 = 2¹ × 3¹ × 31¹ × 233¹

Step-3: Factors of 43328

List of positive integer factors of 43328 that divides 43328 without a remainder.

1, 2, 4, 8, 16, 32, 64, 677, 1354, 2708, 5416, 10832, 21664

Step-4: Factors of 43338

List of positive integer factors of 43338 that divides 43328 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 233, 466, 699, 1398, 7223, 14446, 21669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43328 and 43338. The biggest common factor number is the GCF number.
So the greatest common factor 43328 and 43338 is 2.

Also check out the Least Common Multiple of 43328 and 43338