What is the Greatest Common Factor of 19680 and 19687?

Greatest common factor (GCF) of 19680 and 19687 is 1.

GCF(19680,19687) = 1

We will now calculate the prime factors of 19680 and 19687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19680 and 19687.

How to find the GCF of 19680 and 19687?

We will first find the prime factorization of 19680 and 19687. After we will calculate the factors of 19680 and 19687 and find the biggest common factor number .

Step-1: Prime Factorization of 19680

Prime factors of 19680 are 2, 3, 5, 41. Prime factorization of 19680 in exponential form is:

19680 = 2⁵ × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 19687

Prime factors of 19687 are 19687. Prime factorization of 19687 in exponential form is:

19687 = 19687¹

Step-3: Factors of 19680

List of positive integer factors of 19680 that divides 19680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 41, 48, 60, 80, 82, 96, 120, 123, 160, 164, 205, 240, 246, 328, 410, 480, 492, 615, 656, 820, 984, 1230, 1312, 1640, 1968, 2460, 3280, 3936, 4920, 6560, 9840

Step-4: Factors of 19687

List of positive integer factors of 19687 that divides 19680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19680 and 19687. The biggest common factor number is the GCF number.
So the greatest common factor 19680 and 19687 is 1.

Also check out the Least Common Multiple of 19680 and 19687