What is the Greatest Common Factor of 47184 and 47195?

Greatest common factor (GCF) of 47184 and 47195 is 1.

GCF(47184,47195) = 1

We will now calculate the prime factors of 47184 and 47195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47184 and 47195.

How to find the GCF of 47184 and 47195?

We will first find the prime factorization of 47184 and 47195. After we will calculate the factors of 47184 and 47195 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 47195

Prime factors of 47195 are 5, 9439. Prime factorization of 47195 in exponential form is:

47195 = 5¹ × 9439¹

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 47195

List of positive integer factors of 47195 that divides 47184 without a remainder.

1, 5, 9439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47184 and 47195. The biggest common factor number is the GCF number.
So the greatest common factor 47184 and 47195 is 1.

Also check out the Least Common Multiple of 47184 and 47195