What is the Greatest Common Factor of 54432 and 54450?

Greatest common factor (GCF) of 54432 and 54450 is 18.

GCF(54432,54450) = 18

We will now calculate the prime factors of 54432 and 54450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54432 and 54450.

How to find the GCF of 54432 and 54450?

We will first find the prime factorization of 54432 and 54450. After we will calculate the factors of 54432 and 54450 and find the biggest common factor number .

Step-1: Prime Factorization of 54432

Prime factors of 54432 are 2, 3, 7. Prime factorization of 54432 in exponential form is:

54432 = 2⁵ × 3⁵ × 7¹

Step-2: 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-3: Factors of 54432

List of positive integer factors of 54432 that divides 54432 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 81, 84, 96, 108, 112, 126, 144, 162, 168, 189, 216, 224, 243, 252, 288, 324, 336, 378, 432, 486, 504, 567, 648, 672, 756, 864, 972, 1008, 1134, 1296, 1512, 1701, 1944, 2016, 2268, 2592, 3024, 3402, 3888, 4536, 6048, 6804, 7776, 9072, 13608, 18144, 27216

Step-4: Factors of 54450

List of positive integer factors of 54450 that divides 54432 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54432 and 54450. The biggest common factor number is the GCF number.
So the greatest common factor 54432 and 54450 is 18.

Also check out the Least Common Multiple of 54432 and 54450