What is the Greatest Common Factor of 55675 and 55680?

Greatest common factor (GCF) of 55675 and 55680 is 5.

GCF(55675,55680) = 5

We will now calculate the prime factors of 55675 and 55680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55675 and 55680.

How to find the GCF of 55675 and 55680?

We will first find the prime factorization of 55675 and 55680. After we will calculate the factors of 55675 and 55680 and find the biggest common factor number .

Step-1: Prime Factorization of 55675

Prime factors of 55675 are 5, 17, 131. Prime factorization of 55675 in exponential form is:

55675 = 5² × 17¹ × 131¹

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 55675

List of positive integer factors of 55675 that divides 55675 without a remainder.

1, 5, 17, 25, 85, 131, 425, 655, 2227, 3275, 11135

Step-4: Factors of 55680

List of positive integer factors of 55680 that divides 55675 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 55675 and 55680. The biggest common factor number is the GCF number.
So the greatest common factor 55675 and 55680 is 5.

Also check out the Least Common Multiple of 55675 and 55680