What is the Greatest Common Factor of 54600 and 54616?

Greatest common factor (GCF) of 54600 and 54616 is 8.

GCF(54600,54616) = 8

We will now calculate the prime factors of 54600 and 54616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54600 and 54616.

How to find the GCF of 54600 and 54616?

We will first find the prime factorization of 54600 and 54616. After we will calculate the factors of 54600 and 54616 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 54616

Prime factors of 54616 are 2, 6827. Prime factorization of 54616 in exponential form is:

54616 = 2³ × 6827¹

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 54616

List of positive integer factors of 54616 that divides 54600 without a remainder.

1, 2, 4, 8, 6827, 13654, 27308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54600 and 54616. The biggest common factor number is the GCF number.
So the greatest common factor 54600 and 54616 is 8.

Also check out the Least Common Multiple of 54600 and 54616