What is the Greatest Common Factor of 47175 and 47181?

Greatest common factor (GCF) of 47175 and 47181 is 3.

GCF(47175,47181) = 3

We will now calculate the prime factors of 47175 and 47181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47175 and 47181.

How to find the GCF of 47175 and 47181?

We will first find the prime factorization of 47175 and 47181. After we will calculate the factors of 47175 and 47181 and find the biggest common factor number .

Step-1: Prime Factorization of 47175

Prime factors of 47175 are 3, 5, 17, 37. Prime factorization of 47175 in exponential form is:

47175 = 3¹ × 5² × 17¹ × 37¹

Step-2: Prime Factorization of 47181

Prime factors of 47181 are 3, 15727. Prime factorization of 47181 in exponential form is:

47181 = 3¹ × 15727¹

Step-3: Factors of 47175

List of positive integer factors of 47175 that divides 47175 without a remainder.

1, 3, 5, 15, 17, 25, 37, 51, 75, 85, 111, 185, 255, 425, 555, 629, 925, 1275, 1887, 2775, 3145, 9435, 15725

Step-4: Factors of 47181

List of positive integer factors of 47181 that divides 47175 without a remainder.

1, 3, 15727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47175 and 47181. The biggest common factor number is the GCF number.
So the greatest common factor 47175 and 47181 is 3.

Also check out the Least Common Multiple of 47175 and 47181