What is the Greatest Common Factor of 55680 and 55696?

Greatest common factor (GCF) of 55680 and 55696 is 16.

GCF(55680,55696) = 16

We will now calculate the prime factors of 55680 and 55696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55680 and 55696.

How to find the GCF of 55680 and 55696?

We will first find the prime factorization of 55680 and 55696. After we will calculate the factors of 55680 and 55696 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 55696

Prime factors of 55696 are 2, 59. Prime factorization of 55696 in exponential form is:

55696 = 2⁴ × 59²

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 55696

List of positive integer factors of 55696 that divides 55680 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944, 3481, 6962, 13924, 27848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55680 and 55696. The biggest common factor number is the GCF number.
So the greatest common factor 55680 and 55696 is 16.

Also check out the Least Common Multiple of 55680 and 55696