What is the Greatest Common Factor of 48186 and 48204?

Greatest common factor (GCF) of 48186 and 48204 is 18.

GCF(48186,48204) = 18

We will now calculate the prime factors of 48186 and 48204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48186 and 48204.

How to find the GCF of 48186 and 48204?

We will first find the prime factorization of 48186 and 48204. After we will calculate the factors of 48186 and 48204 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48204

Prime factors of 48204 are 2, 3, 13, 103. Prime factorization of 48204 in exponential form is:

48204 = 2² × 3² × 13¹ × 103¹

Step-3: Factors of 48186

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

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

Step-4: Factors of 48204

List of positive integer factors of 48204 that divides 48186 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 103, 117, 156, 206, 234, 309, 412, 468, 618, 927, 1236, 1339, 1854, 2678, 3708, 4017, 5356, 8034, 12051, 16068, 24102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48186 and 48204. The biggest common factor number is the GCF number.
So the greatest common factor 48186 and 48204 is 18.

Also check out the Least Common Multiple of 48186 and 48204