What is the Greatest Common Factor of 54645 and 54660?

Greatest common factor (GCF) of 54645 and 54660 is 15.

GCF(54645,54660) = 15

We will now calculate the prime factors of 54645 and 54660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54645 and 54660.

How to find the GCF of 54645 and 54660?

We will first find the prime factorization of 54645 and 54660. After we will calculate the factors of 54645 and 54660 and find the biggest common factor number .

Step-1: Prime Factorization of 54645

Prime factors of 54645 are 3, 5, 3643. Prime factorization of 54645 in exponential form is:

54645 = 3¹ × 5¹ × 3643¹

Step-2: Prime Factorization of 54660

Prime factors of 54660 are 2, 3, 5, 911. Prime factorization of 54660 in exponential form is:

54660 = 2² × 3¹ × 5¹ × 911¹

Step-3: Factors of 54645

List of positive integer factors of 54645 that divides 54645 without a remainder.

1, 3, 5, 15, 3643, 10929, 18215

Step-4: Factors of 54660

List of positive integer factors of 54660 that divides 54645 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 911, 1822, 2733, 3644, 4555, 5466, 9110, 10932, 13665, 18220, 27330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54645 and 54660. The biggest common factor number is the GCF number.
So the greatest common factor 54645 and 54660 is 15.

Also check out the Least Common Multiple of 54645 and 54660