What is the Greatest Common Factor of 43874 and 43892?

Greatest common factor (GCF) of 43874 and 43892 is 2.

GCF(43874,43892) = 2

We will now calculate the prime factors of 43874 and 43892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43874 and 43892.

How to find the GCF of 43874 and 43892?

We will first find the prime factorization of 43874 and 43892. After we will calculate the factors of 43874 and 43892 and find the biggest common factor number .

Step-1: Prime Factorization of 43874

Prime factors of 43874 are 2, 21937. Prime factorization of 43874 in exponential form is:

43874 = 2¹ × 21937¹

Step-2: Prime Factorization of 43892

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

43892 = 2² × 10973¹

Step-3: Factors of 43874

List of positive integer factors of 43874 that divides 43874 without a remainder.

1, 2, 21937

Step-4: Factors of 43892

List of positive integer factors of 43892 that divides 43874 without a remainder.

1, 2, 4, 10973, 21946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43874 and 43892. The biggest common factor number is the GCF number.
So the greatest common factor 43874 and 43892 is 2.

Also check out the Least Common Multiple of 43874 and 43892