What is the Greatest Common Factor of 27783 and 27789?

Greatest common factor (GCF) of 27783 and 27789 is 3.

GCF(27783,27789) = 3

We will now calculate the prime factors of 27783 and 27789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27783 and 27789.

How to find the GCF of 27783 and 27789?

We will first find the prime factorization of 27783 and 27789. After we will calculate the factors of 27783 and 27789 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 27789

Prime factors of 27789 are 3, 59, 157. Prime factorization of 27789 in exponential form is:

27789 = 3¹ × 59¹ × 157¹

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 27789

List of positive integer factors of 27789 that divides 27783 without a remainder.

1, 3, 59, 157, 177, 471, 9263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27783 and 27789. The biggest common factor number is the GCF number.
So the greatest common factor 27783 and 27789 is 3.

Also check out the Least Common Multiple of 27783 and 27789