What is the Greatest Common Factor of 20772 and 20784?

Greatest common factor (GCF) of 20772 and 20784 is 12.

GCF(20772,20784) = 12

We will now calculate the prime factors of 20772 and 20784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20772 and 20784.

How to find the GCF of 20772 and 20784?

We will first find the prime factorization of 20772 and 20784. After we will calculate the factors of 20772 and 20784 and find the biggest common factor number .

Step-1: Prime Factorization of 20772

Prime factors of 20772 are 2, 3, 577. Prime factorization of 20772 in exponential form is:

20772 = 2² × 3² × 577¹

Step-2: 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-3: Factors of 20772

List of positive integer factors of 20772 that divides 20772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 577, 1154, 1731, 2308, 3462, 5193, 6924, 10386

Step-4: Factors of 20784

List of positive integer factors of 20784 that divides 20772 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20772 and 20784. The biggest common factor number is the GCF number.
So the greatest common factor 20772 and 20784 is 12.

Also check out the Least Common Multiple of 20772 and 20784