What is the Greatest Common Factor of 54600 and 54618?

Greatest common factor (GCF) of 54600 and 54618 is 6.

GCF(54600,54618) = 6

We will now calculate the prime factors of 54600 and 54618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54600 and 54618.

How to find the GCF of 54600 and 54618?

We will first find the prime factorization of 54600 and 54618. After we will calculate the factors of 54600 and 54618 and find the biggest common factor number .

Step-1: Prime Factorization of 54600

Prime factors of 54600 are 2, 3, 5, 7, 13. Prime factorization of 54600 in exponential form is:

54600 = 2³ × 3¹ × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 54618

Prime factors of 54618 are 2, 3, 9103. Prime factorization of 54618 in exponential form is:

54618 = 2¹ × 3¹ × 9103¹

Step-3: Factors of 54600

List of positive integer factors of 54600 that divides 54600 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 20, 21, 24, 25, 26, 28, 30, 35, 39, 40, 42, 50, 52, 56, 60, 65, 70, 75, 78, 84, 91, 100, 104, 105, 120, 130, 140, 150, 156, 168, 175, 182, 195, 200, 210, 260, 273, 280, 300, 312, 325, 350, 364, 390, 420, 455, 520, 525, 546, 600, 650, 700, 728, 780, 840, 910, 975, 1050, 1092, 1300, 1365, 1400, 1560, 1820, 1950, 2100, 2184, 2275, 2600, 2730, 3640, 3900, 4200, 4550, 5460, 6825, 7800, 9100, 10920, 13650, 18200, 27300

Step-4: Factors of 54618

List of positive integer factors of 54618 that divides 54600 without a remainder.

1, 2, 3, 6, 9103, 18206, 27309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54600 and 54618. The biggest common factor number is the GCF number.
So the greatest common factor 54600 and 54618 is 6.

Also check out the Least Common Multiple of 54600 and 54618