What is the Greatest Common Factor of 27777 and 27783?

Greatest common factor (GCF) of 27777 and 27783 is 3.

GCF(27777,27783) = 3

We will now calculate the prime factors of 27777 and 27783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27777 and 27783.

How to find the GCF of 27777 and 27783?

We will first find the prime factorization of 27777 and 27783. After we will calculate the factors of 27777 and 27783 and find the biggest common factor number .

Step-1: Prime Factorization of 27777

Prime factors of 27777 are 3, 47, 197. Prime factorization of 27777 in exponential form is:

27777 = 3¹ × 47¹ × 197¹

Step-2: Prime Factorization of 27783

Prime factors of 27783 are 3, 7. Prime factorization of 27783 in exponential form is:

27783 = 3⁴ × 7³

Step-3: Factors of 27777

List of positive integer factors of 27777 that divides 27777 without a remainder.

1, 3, 47, 141, 197, 591, 9259

Step-4: Factors of 27783

List of positive integer factors of 27783 that divides 27777 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 343, 441, 567, 1029, 1323, 3087, 3969, 9261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27777 and 27783. The biggest common factor number is the GCF number.
So the greatest common factor 27777 and 27783 is 3.

Also check out the Least Common Multiple of 27777 and 27783