What is the Greatest Common Factor of 48177 and 48186?

Greatest common factor (GCF) of 48177 and 48186 is 9.

GCF(48177,48186) = 9

We will now calculate the prime factors of 48177 and 48186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48177 and 48186.

How to find the GCF of 48177 and 48186?

We will first find the prime factorization of 48177 and 48186. After we will calculate the factors of 48177 and 48186 and find the biggest common factor number .

Step-1: Prime Factorization of 48177

Prime factors of 48177 are 3, 53, 101. Prime factorization of 48177 in exponential form is:

48177 = 3² × 53¹ × 101¹

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 48177

List of positive integer factors of 48177 that divides 48177 without a remainder.

1, 3, 9, 53, 101, 159, 303, 477, 909, 5353, 16059

Step-4: Factors of 48186

List of positive integer factors of 48186 that divides 48177 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 48177 and 48186. The biggest common factor number is the GCF number.
So the greatest common factor 48177 and 48186 is 9.

Also check out the Least Common Multiple of 48177 and 48186