What is the Greatest Common Factor of 43874 and 43880?

Greatest common factor (GCF) of 43874 and 43880 is 2.

GCF(43874,43880) = 2

We will now calculate the prime factors of 43874 and 43880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43874 and 43880.

How to find the GCF of 43874 and 43880?

We will first find the prime factorization of 43874 and 43880. After we will calculate the factors of 43874 and 43880 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 43880

Prime factors of 43880 are 2, 5, 1097. Prime factorization of 43880 in exponential form is:

43880 = 2³ × 5¹ × 1097¹

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 43880

List of positive integer factors of 43880 that divides 43874 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1097, 2194, 4388, 5485, 8776, 10970, 21940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43874 and 43880. The biggest common factor number is the GCF number.
So the greatest common factor 43874 and 43880 is 2.

Also check out the Least Common Multiple of 43874 and 43880