What is the Greatest Common Factor of 54432 and 54437?

Greatest common factor (GCF) of 54432 and 54437 is 1.

GCF(54432,54437) = 1

We will now calculate the prime factors of 54432 and 54437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54432 and 54437.

How to find the GCF of 54432 and 54437?

We will first find the prime factorization of 54432 and 54437. After we will calculate the factors of 54432 and 54437 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 54437

Prime factors of 54437 are 54437. Prime factorization of 54437 in exponential form is:

54437 = 54437¹

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 54437

List of positive integer factors of 54437 that divides 54432 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54432 and 54437. The biggest common factor number is the GCF number.
So the greatest common factor 54432 and 54437 is 1.

Also check out the Least Common Multiple of 54432 and 54437