What is the Greatest Common Factor of 27783 and 27797?

Greatest common factor (GCF) of 27783 and 27797 is 7.

GCF(27783,27797) = 7

We will now calculate the prime factors of 27783 and 27797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27783 and 27797.

How to find the GCF of 27783 and 27797?

We will first find the prime factorization of 27783 and 27797. After we will calculate the factors of 27783 and 27797 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 27797

Prime factors of 27797 are 7, 11, 19. Prime factorization of 27797 in exponential form is:

27797 = 7¹ × 11¹ × 19²

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 27797

List of positive integer factors of 27797 that divides 27783 without a remainder.

1, 7, 11, 19, 77, 133, 209, 361, 1463, 2527, 3971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27783 and 27797. The biggest common factor number is the GCF number.
So the greatest common factor 27783 and 27797 is 7.

Also check out the Least Common Multiple of 27783 and 27797