What is the Greatest Common Factor of 54714 and 54720?

Greatest common factor (GCF) of 54714 and 54720 is 6.

GCF(54714,54720) = 6

We will now calculate the prime factors of 54714 and 54720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54714 and 54720.

How to find the GCF of 54714 and 54720?

We will first find the prime factorization of 54714 and 54720. After we will calculate the factors of 54714 and 54720 and find the biggest common factor number .

Step-1: Prime Factorization of 54714

Prime factors of 54714 are 2, 3, 11, 829. Prime factorization of 54714 in exponential form is:

54714 = 2¹ × 3¹ × 11¹ × 829¹

Step-2: Prime Factorization of 54720

Prime factors of 54720 are 2, 3, 5, 19. Prime factorization of 54720 in exponential form is:

54720 = 2⁶ × 3² × 5¹ × 19¹

Step-3: Factors of 54714

List of positive integer factors of 54714 that divides 54714 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 829, 1658, 2487, 4974, 9119, 18238, 27357

Step-4: Factors of 54720

List of positive integer factors of 54720 that divides 54714 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 30, 32, 36, 38, 40, 45, 48, 57, 60, 64, 72, 76, 80, 90, 95, 96, 114, 120, 144, 152, 160, 171, 180, 190, 192, 228, 240, 285, 288, 304, 320, 342, 360, 380, 456, 480, 570, 576, 608, 684, 720, 760, 855, 912, 960, 1140, 1216, 1368, 1440, 1520, 1710, 1824, 2280, 2736, 2880, 3040, 3420, 3648, 4560, 5472, 6080, 6840, 9120, 10944, 13680, 18240, 27360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54714 and 54720. The biggest common factor number is the GCF number.
So the greatest common factor 54714 and 54720 is 6.

Also check out the Least Common Multiple of 54714 and 54720