What is the Greatest Common Factor of 55666 and 55680?

Greatest common factor (GCF) of 55666 and 55680 is 2.

GCF(55666,55680) = 2

We will now calculate the prime factors of 55666 and 55680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55666 and 55680.

How to find the GCF of 55666 and 55680?

We will first find the prime factorization of 55666 and 55680. After we will calculate the factors of 55666 and 55680 and find the biggest common factor number .

Step-1: Prime Factorization of 55666

Prime factors of 55666 are 2, 13, 2141. Prime factorization of 55666 in exponential form is:

55666 = 2¹ × 13¹ × 2141¹

Step-2: Prime Factorization of 55680

Prime factors of 55680 are 2, 3, 5, 29. Prime factorization of 55680 in exponential form is:

55680 = 2⁷ × 3¹ × 5¹ × 29¹

Step-3: Factors of 55666

List of positive integer factors of 55666 that divides 55666 without a remainder.

1, 2, 13, 26, 2141, 4282, 27833

Step-4: Factors of 55680

List of positive integer factors of 55680 that divides 55666 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 32, 40, 48, 58, 60, 64, 80, 87, 96, 116, 120, 128, 145, 160, 174, 192, 232, 240, 290, 320, 348, 384, 435, 464, 480, 580, 640, 696, 870, 928, 960, 1160, 1392, 1740, 1856, 1920, 2320, 2784, 3480, 3712, 4640, 5568, 6960, 9280, 11136, 13920, 18560, 27840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55666 and 55680. The biggest common factor number is the GCF number.
So the greatest common factor 55666 and 55680 is 2.

Also check out the Least Common Multiple of 55666 and 55680