What is the Greatest Common Factor of 27783 and 27798?

Greatest common factor (GCF) of 27783 and 27798 is 3.

GCF(27783,27798) = 3

We will now calculate the prime factors of 27783 and 27798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27783 and 27798.

How to find the GCF of 27783 and 27798?

We will first find the prime factorization of 27783 and 27798. After we will calculate the factors of 27783 and 27798 and find the biggest common factor number .

Step-1: Prime Factorization of 27783

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

27783 = 3⁴ × 7³

Step-2: Prime Factorization of 27798

Prime factors of 27798 are 2, 3, 41, 113. Prime factorization of 27798 in exponential form is:

27798 = 2¹ × 3¹ × 41¹ × 113¹

Step-3: Factors of 27783

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

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

Step-4: Factors of 27798

List of positive integer factors of 27798 that divides 27783 without a remainder.

1, 2, 3, 6, 41, 82, 113, 123, 226, 246, 339, 678, 4633, 9266, 13899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27783 and 27798. The biggest common factor number is the GCF number.
So the greatest common factor 27783 and 27798 is 3.

Also check out the Least Common Multiple of 27783 and 27798