What is the Greatest Common Factor of 54700 and 54720?

Greatest common factor (GCF) of 54700 and 54720 is 20.

GCF(54700,54720) = 20

We will now calculate the prime factors of 54700 and 54720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54700 and 54720.

How to find the GCF of 54700 and 54720?

We will first find the prime factorization of 54700 and 54720. After we will calculate the factors of 54700 and 54720 and find the biggest common factor number .

Step-1: Prime Factorization of 54700

Prime factors of 54700 are 2, 5, 547. Prime factorization of 54700 in exponential form is:

54700 = 2² × 5² × 547¹

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 54700

List of positive integer factors of 54700 that divides 54700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 547, 1094, 2188, 2735, 5470, 10940, 13675, 27350

Step-4: Factors of 54720

List of positive integer factors of 54720 that divides 54700 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 54700 and 54720. The biggest common factor number is the GCF number.
So the greatest common factor 54700 and 54720 is 20.

Also check out the Least Common Multiple of 54700 and 54720