What is the Greatest Common Factor of 55680 and 55697?

Greatest common factor (GCF) of 55680 and 55697 is 1.

GCF(55680,55697) = 1

We will now calculate the prime factors of 55680 and 55697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55680 and 55697.

How to find the GCF of 55680 and 55697?

We will first find the prime factorization of 55680 and 55697. After we will calculate the factors of 55680 and 55697 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 55697

Prime factors of 55697 are 55697. Prime factorization of 55697 in exponential form is:

55697 = 55697¹

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 55697

List of positive integer factors of 55697 that divides 55680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55680 and 55697. The biggest common factor number is the GCF number.
So the greatest common factor 55680 and 55697 is 1.

Also check out the Least Common Multiple of 55680 and 55697