What is the Greatest Common Factor of 47025 and 47044?

Greatest common factor (GCF) of 47025 and 47044 is 19.

GCF(47025,47044) = 19

We will now calculate the prime factors of 47025 and 47044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47025 and 47044.

How to find the GCF of 47025 and 47044?

We will first find the prime factorization of 47025 and 47044. After we will calculate the factors of 47025 and 47044 and find the biggest common factor number .

Step-1: Prime Factorization of 47025

Prime factors of 47025 are 3, 5, 11, 19. Prime factorization of 47025 in exponential form is:

47025 = 3² × 5² × 11¹ × 19¹

Step-2: Prime Factorization of 47044

Prime factors of 47044 are 2, 19, 619. Prime factorization of 47044 in exponential form is:

47044 = 2² × 19¹ × 619¹

Step-3: Factors of 47025

List of positive integer factors of 47025 that divides 47025 without a remainder.

1, 3, 5, 9, 11, 15, 19, 25, 33, 45, 55, 57, 75, 95, 99, 165, 171, 209, 225, 275, 285, 475, 495, 627, 825, 855, 1045, 1425, 1881, 2475, 3135, 4275, 5225, 9405, 15675

Step-4: Factors of 47044

List of positive integer factors of 47044 that divides 47025 without a remainder.

1, 2, 4, 19, 38, 76, 619, 1238, 2476, 11761, 23522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47025 and 47044. The biggest common factor number is the GCF number.
So the greatest common factor 47025 and 47044 is 19.

Also check out the Least Common Multiple of 47025 and 47044