What is the Greatest Common Factor of 43856 and 43874?

Greatest common factor (GCF) of 43856 and 43874 is 2.

GCF(43856,43874) = 2

We will now calculate the prime factors of 43856 and 43874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43856 and 43874.

How to find the GCF of 43856 and 43874?

We will first find the prime factorization of 43856 and 43874. After we will calculate the factors of 43856 and 43874 and find the biggest common factor number .

Step-1: Prime Factorization of 43856

Prime factors of 43856 are 2, 2741. Prime factorization of 43856 in exponential form is:

43856 = 2⁴ × 2741¹

Step-2: Prime Factorization of 43874

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

43874 = 2¹ × 21937¹

Step-3: Factors of 43856

List of positive integer factors of 43856 that divides 43856 without a remainder.

1, 2, 4, 8, 16, 2741, 5482, 10964, 21928

Step-4: Factors of 43874

List of positive integer factors of 43874 that divides 43856 without a remainder.

1, 2, 21937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43856 and 43874. The biggest common factor number is the GCF number.
So the greatest common factor 43856 and 43874 is 2.

Also check out the Least Common Multiple of 43856 and 43874