What is the Greatest Common Factor of 47175 and 47184?

Greatest common factor (GCF) of 47175 and 47184 is 3.

GCF(47175,47184) = 3

We will now calculate the prime factors of 47175 and 47184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47175 and 47184.

How to find the GCF of 47175 and 47184?

We will first find the prime factorization of 47175 and 47184. After we will calculate the factors of 47175 and 47184 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 47184

Prime factors of 47184 are 2, 3, 983. Prime factorization of 47184 in exponential form is:

47184 = 2⁴ × 3¹ × 983¹

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 47184

List of positive integer factors of 47184 that divides 47175 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 983, 1966, 2949, 3932, 5898, 7864, 11796, 15728, 23592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47175 and 47184. The biggest common factor number is the GCF number.
So the greatest common factor 47175 and 47184 is 3.

Also check out the Least Common Multiple of 47175 and 47184