What is the Greatest Common Factor of 47025 and 47031?

Greatest common factor (GCF) of 47025 and 47031 is 3.

GCF(47025,47031) = 3

We will now calculate the prime factors of 47025 and 47031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47025 and 47031.

How to find the GCF of 47025 and 47031?

We will first find the prime factorization of 47025 and 47031. After we will calculate the factors of 47025 and 47031 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 47031

Prime factors of 47031 are 3, 61, 257. Prime factorization of 47031 in exponential form is:

47031 = 3¹ × 61¹ × 257¹

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 47031

List of positive integer factors of 47031 that divides 47025 without a remainder.

1, 3, 61, 183, 257, 771, 15677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47025 and 47031. The biggest common factor number is the GCF number.
So the greatest common factor 47025 and 47031 is 3.

Also check out the Least Common Multiple of 47025 and 47031