What is the Greatest Common Factor of 55680 and 55691?

Greatest common factor (GCF) of 55680 and 55691 is 1.

GCF(55680,55691) = 1

We will now calculate the prime factors of 55680 and 55691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55680 and 55691.

How to find the GCF of 55680 and 55691?

We will first find the prime factorization of 55680 and 55691. After we will calculate the factors of 55680 and 55691 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55691

Prime factors of 55691 are 55691. Prime factorization of 55691 in exponential form is:

55691 = 55691¹

Step-3: Factors of 55680

List of positive integer factors of 55680 that divides 55680 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

Step-4: Factors of 55691

List of positive integer factors of 55691 that divides 55680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55680 and 55691. The biggest common factor number is the GCF number.
So the greatest common factor 55680 and 55691 is 1.

Also check out the Least Common Multiple of 55680 and 55691