What is the Greatest Common Factor of 47184 and 47193?

Greatest common factor (GCF) of 47184 and 47193 is 3.

GCF(47184,47193) = 3

We will now calculate the prime factors of 47184 and 47193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47184 and 47193.

How to find the GCF of 47184 and 47193?

We will first find the prime factorization of 47184 and 47193. After we will calculate the factors of 47184 and 47193 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47193

Prime factors of 47193 are 3, 15731. Prime factorization of 47193 in exponential form is:

47193 = 3¹ × 15731¹

Step-3: Factors of 47184

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

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

Step-4: Factors of 47193

List of positive integer factors of 47193 that divides 47184 without a remainder.

1, 3, 15731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47184 and 47193. The biggest common factor number is the GCF number.
So the greatest common factor 47184 and 47193 is 3.

Also check out the Least Common Multiple of 47184 and 47193