What is the Greatest Common Factor of 48168 and 48186?

Greatest common factor (GCF) of 48168 and 48186 is 18.

GCF(48168,48186) = 18

We will now calculate the prime factors of 48168 and 48186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48168 and 48186.

How to find the GCF of 48168 and 48186?

We will first find the prime factorization of 48168 and 48186. After we will calculate the factors of 48168 and 48186 and find the biggest common factor number .

Step-1: Prime Factorization of 48168

Prime factors of 48168 are 2, 3, 223. Prime factorization of 48168 in exponential form is:

48168 = 2³ × 3³ × 223¹

Step-2: Prime Factorization of 48186

Prime factors of 48186 are 2, 3, 2677. Prime factorization of 48186 in exponential form is:

48186 = 2¹ × 3² × 2677¹

Step-3: Factors of 48168

List of positive integer factors of 48168 that divides 48168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 223, 446, 669, 892, 1338, 1784, 2007, 2676, 4014, 5352, 6021, 8028, 12042, 16056, 24084

Step-4: Factors of 48186

List of positive integer factors of 48186 that divides 48168 without a remainder.

1, 2, 3, 6, 9, 18, 2677, 5354, 8031, 16062, 24093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48168 and 48186. The biggest common factor number is the GCF number.
So the greatest common factor 48168 and 48186 is 18.

Also check out the Least Common Multiple of 48168 and 48186