What is the Greatest Common Factor of 47444 and 47452?

Greatest common factor (GCF) of 47444 and 47452 is 4.

GCF(47444,47452) = 4

We will now calculate the prime factors of 47444 and 47452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47444 and 47452.

How to find the GCF of 47444 and 47452?

We will first find the prime factorization of 47444 and 47452. After we will calculate the factors of 47444 and 47452 and find the biggest common factor number .

Step-1: Prime Factorization of 47444

Prime factors of 47444 are 2, 29, 409. Prime factorization of 47444 in exponential form is:

47444 = 2² × 29¹ × 409¹

Step-2: Prime Factorization of 47452

Prime factors of 47452 are 2, 11863. Prime factorization of 47452 in exponential form is:

47452 = 2² × 11863¹

Step-3: Factors of 47444

List of positive integer factors of 47444 that divides 47444 without a remainder.

1, 2, 4, 29, 58, 116, 409, 818, 1636, 11861, 23722

Step-4: Factors of 47452

List of positive integer factors of 47452 that divides 47444 without a remainder.

1, 2, 4, 11863, 23726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47444 and 47452. The biggest common factor number is the GCF number.
So the greatest common factor 47444 and 47452 is 4.

Also check out the Least Common Multiple of 47444 and 47452