What is the Greatest Common Factor of 27756 and 27773?

Greatest common factor (GCF) of 27756 and 27773 is 1.

GCF(27756,27773) = 1

We will now calculate the prime factors of 27756 and 27773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27756 and 27773.

How to find the GCF of 27756 and 27773?

We will first find the prime factorization of 27756 and 27773. After we will calculate the factors of 27756 and 27773 and find the biggest common factor number .

Step-1: Prime Factorization of 27756

Prime factors of 27756 are 2, 3, 257. Prime factorization of 27756 in exponential form is:

27756 = 2² × 3³ × 257¹

Step-2: Prime Factorization of 27773

Prime factors of 27773 are 27773. Prime factorization of 27773 in exponential form is:

27773 = 27773¹

Step-3: Factors of 27756

List of positive integer factors of 27756 that divides 27756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 6939, 9252, 13878

Step-4: Factors of 27773

List of positive integer factors of 27773 that divides 27756 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27756 and 27773. The biggest common factor number is the GCF number.
So the greatest common factor 27756 and 27773 is 1.

Also check out the Least Common Multiple of 27756 and 27773