What is the Greatest Common Factor of 54432 and 54439?

Greatest common factor (GCF) of 54432 and 54439 is 7.

GCF(54432,54439) = 7

We will now calculate the prime factors of 54432 and 54439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54432 and 54439.

How to find the GCF of 54432 and 54439?

We will first find the prime factorization of 54432 and 54439. After we will calculate the factors of 54432 and 54439 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 54439

Prime factors of 54439 are 7, 11, 101. Prime factorization of 54439 in exponential form is:

54439 = 7² × 11¹ × 101¹

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 54439

List of positive integer factors of 54439 that divides 54432 without a remainder.

1, 7, 11, 49, 77, 101, 539, 707, 1111, 4949, 7777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54432 and 54439. The biggest common factor number is the GCF number.
So the greatest common factor 54432 and 54439 is 7.

Also check out the Least Common Multiple of 54432 and 54439