What is the Greatest Common Factor of 43852 and 43871?

Greatest common factor (GCF) of 43852 and 43871 is 19.

GCF(43852,43871) = 19

We will now calculate the prime factors of 43852 and 43871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43852 and 43871.

How to find the GCF of 43852 and 43871?

We will first find the prime factorization of 43852 and 43871. After we will calculate the factors of 43852 and 43871 and find the biggest common factor number .

Step-1: Prime Factorization of 43852

Prime factors of 43852 are 2, 19, 577. Prime factorization of 43852 in exponential form is:

43852 = 2² × 19¹ × 577¹

Step-2: Prime Factorization of 43871

Prime factors of 43871 are 19, 2309. Prime factorization of 43871 in exponential form is:

43871 = 19¹ × 2309¹

Step-3: Factors of 43852

List of positive integer factors of 43852 that divides 43852 without a remainder.

1, 2, 4, 19, 38, 76, 577, 1154, 2308, 10963, 21926

Step-4: Factors of 43871

List of positive integer factors of 43871 that divides 43852 without a remainder.

1, 19, 2309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43852 and 43871. The biggest common factor number is the GCF number.
So the greatest common factor 43852 and 43871 is 19.

Also check out the Least Common Multiple of 43852 and 43871