What is the Greatest Common Factor of 54432 and 54438?

Greatest common factor (GCF) of 54432 and 54438 is 6.

GCF(54432,54438) = 6

We will now calculate the prime factors of 54432 and 54438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54432 and 54438.

How to find the GCF of 54432 and 54438?

We will first find the prime factorization of 54432 and 54438. After we will calculate the factors of 54432 and 54438 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 54438

Prime factors of 54438 are 2, 3, 43, 211. Prime factorization of 54438 in exponential form is:

54438 = 2¹ × 3¹ × 43¹ × 211¹

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 54438

List of positive integer factors of 54438 that divides 54432 without a remainder.

1, 2, 3, 6, 43, 86, 129, 211, 258, 422, 633, 1266, 9073, 18146, 27219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54432 and 54438. The biggest common factor number is the GCF number.
So the greatest common factor 54432 and 54438 is 6.

Also check out the Least Common Multiple of 54432 and 54438