What is the Greatest Common Factor of 43324 and 43340?

Greatest common factor (GCF) of 43324 and 43340 is 4.

GCF(43324,43340) = 4

We will now calculate the prime factors of 43324 and 43340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43324 and 43340.

How to find the GCF of 43324 and 43340?

We will first find the prime factorization of 43324 and 43340. After we will calculate the factors of 43324 and 43340 and find the biggest common factor number .

Step-1: Prime Factorization of 43324

Prime factors of 43324 are 2, 10831. Prime factorization of 43324 in exponential form is:

43324 = 2² × 10831¹

Step-2: Prime Factorization of 43340

Prime factors of 43340 are 2, 5, 11, 197. Prime factorization of 43340 in exponential form is:

43340 = 2² × 5¹ × 11¹ × 197¹

Step-3: Factors of 43324

List of positive integer factors of 43324 that divides 43324 without a remainder.

1, 2, 4, 10831, 21662

Step-4: Factors of 43340

List of positive integer factors of 43340 that divides 43324 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 197, 220, 394, 788, 985, 1970, 2167, 3940, 4334, 8668, 10835, 21670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43324 and 43340. The biggest common factor number is the GCF number.
So the greatest common factor 43324 and 43340 is 4.

Also check out the Least Common Multiple of 43324 and 43340