What is the Greatest Common Factor of 20780 and 20796?

Greatest common factor (GCF) of 20780 and 20796 is 4.

GCF(20780,20796) = 4

We will now calculate the prime factors of 20780 and 20796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20780 and 20796.

How to find the GCF of 20780 and 20796?

We will first find the prime factorization of 20780 and 20796. After we will calculate the factors of 20780 and 20796 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20796

Prime factors of 20796 are 2, 3, 1733. Prime factorization of 20796 in exponential form is:

20796 = 2² × 3¹ × 1733¹

Step-3: Factors of 20780

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

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

Step-4: Factors of 20796

List of positive integer factors of 20796 that divides 20780 without a remainder.

1, 2, 3, 4, 6, 12, 1733, 3466, 5199, 6932, 10398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20780 and 20796. The biggest common factor number is the GCF number.
So the greatest common factor 20780 and 20796 is 4.

Also check out the Least Common Multiple of 20780 and 20796