What is the Greatest Common Factor of 54945 and 54963?

Greatest common factor (GCF) of 54945 and 54963 is 9.

GCF(54945,54963) = 9

We will now calculate the prime factors of 54945 and 54963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54945 and 54963.

How to find the GCF of 54945 and 54963?

We will first find the prime factorization of 54945 and 54963. After we will calculate the factors of 54945 and 54963 and find the biggest common factor number .

Step-1: Prime Factorization of 54945

Prime factors of 54945 are 3, 5, 11, 37. Prime factorization of 54945 in exponential form is:

54945 = 3³ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 54963

Prime factors of 54963 are 3, 31, 197. Prime factorization of 54963 in exponential form is:

54963 = 3² × 31¹ × 197¹

Step-3: Factors of 54945

List of positive integer factors of 54945 that divides 54945 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 37, 45, 55, 99, 111, 135, 165, 185, 297, 333, 407, 495, 555, 999, 1221, 1485, 1665, 2035, 3663, 4995, 6105, 10989, 18315

Step-4: Factors of 54963

List of positive integer factors of 54963 that divides 54945 without a remainder.

1, 3, 9, 31, 93, 197, 279, 591, 1773, 6107, 18321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54945 and 54963. The biggest common factor number is the GCF number.
So the greatest common factor 54945 and 54963 is 9.

Also check out the Least Common Multiple of 54945 and 54963