What is the Greatest Common Factor of 47178 and 47184?

Greatest common factor (GCF) of 47178 and 47184 is 6.

GCF(47178,47184) = 6

We will now calculate the prime factors of 47178 and 47184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47178 and 47184.

How to find the GCF of 47178 and 47184?

We will first find the prime factorization of 47178 and 47184. After we will calculate the factors of 47178 and 47184 and find the biggest common factor number .

Step-1: Prime Factorization of 47178

Prime factors of 47178 are 2, 3, 2621. Prime factorization of 47178 in exponential form is:

47178 = 2¹ × 3² × 2621¹

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 47178

List of positive integer factors of 47178 that divides 47178 without a remainder.

1, 2, 3, 6, 9, 18, 2621, 5242, 7863, 15726, 23589

Step-4: Factors of 47184

List of positive integer factors of 47184 that divides 47178 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 47178 and 47184. The biggest common factor number is the GCF number.
So the greatest common factor 47178 and 47184 is 6.

Also check out the Least Common Multiple of 47178 and 47184