What is the Greatest Common Factor of 20772 and 20780?

Greatest common factor (GCF) of 20772 and 20780 is 4.

GCF(20772,20780) = 4

We will now calculate the prime factors of 20772 and 20780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20772 and 20780.

How to find the GCF of 20772 and 20780?

We will first find the prime factorization of 20772 and 20780. After we will calculate the factors of 20772 and 20780 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 20780

Prime factors of 20780 are 2, 5, 1039. Prime factorization of 20780 in exponential form is:

20780 = 2² × 5¹ × 1039¹

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 20780

List of positive integer factors of 20780 that divides 20772 without a remainder.

1, 2, 4, 5, 10, 20, 1039, 2078, 4156, 5195, 10390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20772 and 20780. The biggest common factor number is the GCF number.
So the greatest common factor 20772 and 20780 is 4.

Also check out the Least Common Multiple of 20772 and 20780