What is the Greatest Common Factor of 54450 and 54468?

Greatest common factor (GCF) of 54450 and 54468 is 18.

GCF(54450,54468) = 18

We will now calculate the prime factors of 54450 and 54468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54450 and 54468.

How to find the GCF of 54450 and 54468?

We will first find the prime factorization of 54450 and 54468. After we will calculate the factors of 54450 and 54468 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 54468

Prime factors of 54468 are 2, 3, 17, 89. Prime factorization of 54468 in exponential form is:

54468 = 2² × 3² × 17¹ × 89¹

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 54468

List of positive integer factors of 54468 that divides 54450 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 89, 102, 153, 178, 204, 267, 306, 356, 534, 612, 801, 1068, 1513, 1602, 3026, 3204, 4539, 6052, 9078, 13617, 18156, 27234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54450 and 54468. The biggest common factor number is the GCF number.
So the greatest common factor 54450 and 54468 is 18.

Also check out the Least Common Multiple of 54450 and 54468