What is the Greatest Common Factor of 27774 and 27786?

Greatest common factor (GCF) of 27774 and 27786 is 6.

GCF(27774,27786) = 6

We will now calculate the prime factors of 27774 and 27786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27774 and 27786.

How to find the GCF of 27774 and 27786?

We will first find the prime factorization of 27774 and 27786. After we will calculate the factors of 27774 and 27786 and find the biggest common factor number .

Step-1: Prime Factorization of 27774

Prime factors of 27774 are 2, 3, 1543. Prime factorization of 27774 in exponential form is:

27774 = 2¹ × 3² × 1543¹

Step-2: Prime Factorization of 27786

Prime factors of 27786 are 2, 3, 11, 421. Prime factorization of 27786 in exponential form is:

27786 = 2¹ × 3¹ × 11¹ × 421¹

Step-3: Factors of 27774

List of positive integer factors of 27774 that divides 27774 without a remainder.

1, 2, 3, 6, 9, 18, 1543, 3086, 4629, 9258, 13887

Step-4: Factors of 27786

List of positive integer factors of 27786 that divides 27774 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 421, 842, 1263, 2526, 4631, 9262, 13893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27774 and 27786. The biggest common factor number is the GCF number.
So the greatest common factor 27774 and 27786 is 6.

Also check out the Least Common Multiple of 27774 and 27786