What is the Greatest Common Factor of 27769 and 27783?

Greatest common factor (GCF) of 27769 and 27783 is 7.

GCF(27769,27783) = 7

We will now calculate the prime factors of 27769 and 27783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27769 and 27783.

How to find the GCF of 27769 and 27783?

We will first find the prime factorization of 27769 and 27783. After we will calculate the factors of 27769 and 27783 and find the biggest common factor number .

Step-1: Prime Factorization of 27769

Prime factors of 27769 are 7, 3967. Prime factorization of 27769 in exponential form is:

27769 = 7¹ × 3967¹

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 27769

List of positive integer factors of 27769 that divides 27769 without a remainder.

1, 7, 3967

Step-4: Factors of 27783

List of positive integer factors of 27783 that divides 27769 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 27769 and 27783. The biggest common factor number is the GCF number.
So the greatest common factor 27769 and 27783 is 7.

Also check out the Least Common Multiple of 27769 and 27783