What is the Greatest Common Factor of 54432 and 54440?

Greatest common factor (GCF) of 54432 and 54440 is 8.

GCF(54432,54440) = 8

We will now calculate the prime factors of 54432 and 54440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54432 and 54440.

How to find the GCF of 54432 and 54440?

We will first find the prime factorization of 54432 and 54440. After we will calculate the factors of 54432 and 54440 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 54440

Prime factors of 54440 are 2, 5, 1361. Prime factorization of 54440 in exponential form is:

54440 = 2³ × 5¹ × 1361¹

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 54440

List of positive integer factors of 54440 that divides 54432 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1361, 2722, 5444, 6805, 10888, 13610, 27220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54432 and 54440. The biggest common factor number is the GCF number.
So the greatest common factor 54432 and 54440 is 8.

Also check out the Least Common Multiple of 54432 and 54440