What is the Greatest Common Factor of 27789 and 27801?

Greatest common factor (GCF) of 27789 and 27801 is 3.

GCF(27789,27801) = 3

We will now calculate the prime factors of 27789 and 27801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27789 and 27801.

How to find the GCF of 27789 and 27801?

We will first find the prime factorization of 27789 and 27801. After we will calculate the factors of 27789 and 27801 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27801

Prime factors of 27801 are 3, 3089. Prime factorization of 27801 in exponential form is:

27801 = 3² × 3089¹

Step-3: Factors of 27789

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

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

Step-4: Factors of 27801

List of positive integer factors of 27801 that divides 27789 without a remainder.

1, 3, 9, 3089, 9267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27789 and 27801. The biggest common factor number is the GCF number.
So the greatest common factor 27789 and 27801 is 3.

Also check out the Least Common Multiple of 27789 and 27801