What is the Greatest Common Factor of 54450 and 54465?

Greatest common factor (GCF) of 54450 and 54465 is 15.

GCF(54450,54465) = 15

We will now calculate the prime factors of 54450 and 54465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54450 and 54465.

How to find the GCF of 54450 and 54465?

We will first find the prime factorization of 54450 and 54465. After we will calculate the factors of 54450 and 54465 and find the biggest common factor number .

Step-1: Prime Factorization of 54450

Prime factors of 54450 are 2, 3, 5, 11. Prime factorization of 54450 in exponential form is:

54450 = 2¹ × 3² × 5² × 11²

Step-2: 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-3: Factors of 54450

List of positive integer factors of 54450 that divides 54450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 121, 150, 165, 198, 225, 242, 275, 330, 363, 450, 495, 550, 605, 726, 825, 990, 1089, 1210, 1650, 1815, 2178, 2475, 3025, 3630, 4950, 5445, 6050, 9075, 10890, 18150, 27225

Step-4: Factors of 54465

List of positive integer factors of 54465 that divides 54450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54450 and 54465. The biggest common factor number is the GCF number.
So the greatest common factor 54450 and 54465 is 15.

Also check out the Least Common Multiple of 54450 and 54465