What is the Greatest Common Factor of 43892 and 43912?

Greatest common factor (GCF) of 43892 and 43912 is 4.

GCF(43892,43912) = 4

We will now calculate the prime factors of 43892 and 43912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43892 and 43912.

How to find the GCF of 43892 and 43912?

We will first find the prime factorization of 43892 and 43912. After we will calculate the factors of 43892 and 43912 and find the biggest common factor number .

Step-1: Prime Factorization of 43892

Prime factors of 43892 are 2, 10973. Prime factorization of 43892 in exponential form is:

43892 = 2² × 10973¹

Step-2: Prime Factorization of 43912

Prime factors of 43912 are 2, 11, 499. Prime factorization of 43912 in exponential form is:

43912 = 2³ × 11¹ × 499¹

Step-3: Factors of 43892

List of positive integer factors of 43892 that divides 43892 without a remainder.

1, 2, 4, 10973, 21946

Step-4: Factors of 43912

List of positive integer factors of 43912 that divides 43892 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 499, 998, 1996, 3992, 5489, 10978, 21956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43892 and 43912. The biggest common factor number is the GCF number.
So the greatest common factor 43892 and 43912 is 4.

Also check out the Least Common Multiple of 43892 and 43912