What is the Greatest Common Factor of 54465 and 54480?

Greatest common factor (GCF) of 54465 and 54480 is 15.

GCF(54465,54480) = 15

We will now calculate the prime factors of 54465 and 54480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54465 and 54480.

How to find the GCF of 54465 and 54480?

We will first find the prime factorization of 54465 and 54480. After we will calculate the factors of 54465 and 54480 and find the biggest common factor number .

Step-1: Prime Factorization of 54465

Prime factors of 54465 are 3, 5, 3631. Prime factorization of 54465 in exponential form is:

54465 = 3¹ × 5¹ × 3631¹

Step-2: Prime Factorization of 54480

Prime factors of 54480 are 2, 3, 5, 227. Prime factorization of 54480 in exponential form is:

54480 = 2⁴ × 3¹ × 5¹ × 227¹

Step-3: Factors of 54465

List of positive integer factors of 54465 that divides 54465 without a remainder.

1, 3, 5, 15, 3631, 10893, 18155

Step-4: Factors of 54480

List of positive integer factors of 54480 that divides 54465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 227, 240, 454, 681, 908, 1135, 1362, 1816, 2270, 2724, 3405, 3632, 4540, 5448, 6810, 9080, 10896, 13620, 18160, 27240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54465 and 54480. The biggest common factor number is the GCF number.
So the greatest common factor 54465 and 54480 is 15.

Also check out the Least Common Multiple of 54465 and 54480