What is the Greatest Common Factor of 21774 and 21786?

Greatest common factor (GCF) of 21774 and 21786 is 6.

GCF(21774,21786) = 6

We will now calculate the prime factors of 21774 and 21786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21774 and 21786.

How to find the GCF of 21774 and 21786?

We will first find the prime factorization of 21774 and 21786. After we will calculate the factors of 21774 and 21786 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 21786

Prime factors of 21786 are 2, 3, 3631. Prime factorization of 21786 in exponential form is:

21786 = 2¹ × 3¹ × 3631¹

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 21786

List of positive integer factors of 21786 that divides 21774 without a remainder.

1, 2, 3, 6, 3631, 7262, 10893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21774 and 21786. The biggest common factor number is the GCF number.
So the greatest common factor 21774 and 21786 is 6.

Also check out the Least Common Multiple of 21774 and 21786