What is the Greatest Common Factor of 20784 and 20789?

Greatest common factor (GCF) of 20784 and 20789 is 1.

GCF(20784,20789) = 1

We will now calculate the prime factors of 20784 and 20789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20784 and 20789.

How to find the GCF of 20784 and 20789?

We will first find the prime factorization of 20784 and 20789. After we will calculate the factors of 20784 and 20789 and find the biggest common factor number .

Step-1: Prime Factorization of 20784

Prime factors of 20784 are 2, 3, 433. Prime factorization of 20784 in exponential form is:

20784 = 2⁴ × 3¹ × 433¹

Step-2: Prime Factorization of 20789

Prime factors of 20789 are 20789. Prime factorization of 20789 in exponential form is:

20789 = 20789¹

Step-3: Factors of 20784

List of positive integer factors of 20784 that divides 20784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 433, 866, 1299, 1732, 2598, 3464, 5196, 6928, 10392

Step-4: Factors of 20789

List of positive integer factors of 20789 that divides 20784 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20784 and 20789. The biggest common factor number is the GCF number.
So the greatest common factor 20784 and 20789 is 1.

Also check out the Least Common Multiple of 20784 and 20789