What is the Greatest Common Factor of 54519 and 54528?

Greatest common factor (GCF) of 54519 and 54528 is 3.

GCF(54519,54528) = 3

We will now calculate the prime factors of 54519 and 54528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54519 and 54528.

How to find the GCF of 54519 and 54528?

We will first find the prime factorization of 54519 and 54528. After we will calculate the factors of 54519 and 54528 and find the biggest common factor number .

Step-1: Prime Factorization of 54519

Prime factors of 54519 are 3, 17, 1069. Prime factorization of 54519 in exponential form is:

54519 = 3¹ × 17¹ × 1069¹

Step-2: Prime Factorization of 54528

Prime factors of 54528 are 2, 3, 71. Prime factorization of 54528 in exponential form is:

54528 = 2⁸ × 3¹ × 71¹

Step-3: Factors of 54519

List of positive integer factors of 54519 that divides 54519 without a remainder.

1, 3, 17, 51, 1069, 3207, 18173

Step-4: Factors of 54528

List of positive integer factors of 54528 that divides 54519 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 128, 142, 192, 213, 256, 284, 384, 426, 568, 768, 852, 1136, 1704, 2272, 3408, 4544, 6816, 9088, 13632, 18176, 27264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54519 and 54528. The biggest common factor number is the GCF number.
So the greatest common factor 54519 and 54528 is 3.

Also check out the Least Common Multiple of 54519 and 54528