What is the Greatest Common Factor of 21778 and 21788?

Greatest common factor (GCF) of 21778 and 21788 is 2.

GCF(21778,21788) = 2

We will now calculate the prime factors of 21778 and 21788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21778 and 21788.

How to find the GCF of 21778 and 21788?

We will first find the prime factorization of 21778 and 21788. After we will calculate the factors of 21778 and 21788 and find the biggest common factor number .

Step-1: Prime Factorization of 21778

Prime factors of 21778 are 2, 10889. Prime factorization of 21778 in exponential form is:

21778 = 2¹ × 10889¹

Step-2: Prime Factorization of 21788

Prime factors of 21788 are 2, 13, 419. Prime factorization of 21788 in exponential form is:

21788 = 2² × 13¹ × 419¹

Step-3: Factors of 21778

List of positive integer factors of 21778 that divides 21778 without a remainder.

1, 2, 10889

Step-4: Factors of 21788

List of positive integer factors of 21788 that divides 21778 without a remainder.

1, 2, 4, 13, 26, 52, 419, 838, 1676, 5447, 10894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21778 and 21788. The biggest common factor number is the GCF number.
So the greatest common factor 21778 and 21788 is 2.

Also check out the Least Common Multiple of 21778 and 21788