What is the Greatest Common Factor of 21774 and 21778?

Greatest common factor (GCF) of 21774 and 21778 is 2.

GCF(21774,21778) = 2

We will now calculate the prime factors of 21774 and 21778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21774 and 21778.

How to find the GCF of 21774 and 21778?

We will first find the prime factorization of 21774 and 21778. After we will calculate the factors of 21774 and 21778 and find the biggest common factor number .

Step-1: Prime Factorization of 21774

Prime factors of 21774 are 2, 3, 19, 191. Prime factorization of 21774 in exponential form is:

21774 = 2¹ × 3¹ × 19¹ × 191¹

Step-2: Prime Factorization of 21778

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

21778 = 2¹ × 10889¹

Step-3: Factors of 21774

List of positive integer factors of 21774 that divides 21774 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 191, 382, 573, 1146, 3629, 7258, 10887

Step-4: Factors of 21778

List of positive integer factors of 21778 that divides 21774 without a remainder.

1, 2, 10889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21774 and 21778. The biggest common factor number is the GCF number.
So the greatest common factor 21774 and 21778 is 2.

Also check out the Least Common Multiple of 21774 and 21778