What is the Greatest Common Factor of 54425 and 54432?

Greatest common factor (GCF) of 54425 and 54432 is 7.

GCF(54425,54432) = 7

We will now calculate the prime factors of 54425 and 54432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54425 and 54432.

How to find the GCF of 54425 and 54432?

We will first find the prime factorization of 54425 and 54432. After we will calculate the factors of 54425 and 54432 and find the biggest common factor number .

Step-1: Prime Factorization of 54425

Prime factors of 54425 are 5, 7, 311. Prime factorization of 54425 in exponential form is:

54425 = 5² × 7¹ × 311¹

Step-2: 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-3: Factors of 54425

List of positive integer factors of 54425 that divides 54425 without a remainder.

1, 5, 7, 25, 35, 175, 311, 1555, 2177, 7775, 10885

Step-4: Factors of 54432

List of positive integer factors of 54432 that divides 54425 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54425 and 54432. The biggest common factor number is the GCF number.
So the greatest common factor 54425 and 54432 is 7.

Also check out the Least Common Multiple of 54425 and 54432