What is the Greatest Common Factor of 48186 and 48200?

Greatest common factor (GCF) of 48186 and 48200 is 2.

GCF(48186,48200) = 2

We will now calculate the prime factors of 48186 and 48200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48186 and 48200.

How to find the GCF of 48186 and 48200?

We will first find the prime factorization of 48186 and 48200. After we will calculate the factors of 48186 and 48200 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 48200

Prime factors of 48200 are 2, 5, 241. Prime factorization of 48200 in exponential form is:

48200 = 2³ × 5² × 241¹

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 48200

List of positive integer factors of 48200 that divides 48186 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 241, 482, 964, 1205, 1928, 2410, 4820, 6025, 9640, 12050, 24100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48186 and 48200. The biggest common factor number is the GCF number.
So the greatest common factor 48186 and 48200 is 2.

Also check out the Least Common Multiple of 48186 and 48200