What is the Greatest Common Factor of 54720 and 54734?

Greatest common factor (GCF) of 54720 and 54734 is 2.

GCF(54720,54734) = 2

We will now calculate the prime factors of 54720 and 54734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54720 and 54734.

How to find the GCF of 54720 and 54734?

We will first find the prime factorization of 54720 and 54734. After we will calculate the factors of 54720 and 54734 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54734

Prime factors of 54734 are 2, 27367. Prime factorization of 54734 in exponential form is:

54734 = 2¹ × 27367¹

Step-3: Factors of 54720

List of positive integer factors of 54720 that divides 54720 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

Step-4: Factors of 54734

List of positive integer factors of 54734 that divides 54720 without a remainder.

1, 2, 27367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54720 and 54734. The biggest common factor number is the GCF number.
So the greatest common factor 54720 and 54734 is 2.

Also check out the Least Common Multiple of 54720 and 54734