What is the Greatest Common Factor of 27785 and 27795?

Greatest common factor (GCF) of 27785 and 27795 is 5.

GCF(27785,27795) = 5

We will now calculate the prime factors of 27785 and 27795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27785 and 27795.

How to find the GCF of 27785 and 27795?

We will first find the prime factorization of 27785 and 27795. After we will calculate the factors of 27785 and 27795 and find the biggest common factor number .

Step-1: Prime Factorization of 27785

Prime factors of 27785 are 5, 5557. Prime factorization of 27785 in exponential form is:

27785 = 5¹ × 5557¹

Step-2: Prime Factorization of 27795

Prime factors of 27795 are 3, 5, 17, 109. Prime factorization of 27795 in exponential form is:

27795 = 3¹ × 5¹ × 17¹ × 109¹

Step-3: Factors of 27785

List of positive integer factors of 27785 that divides 27785 without a remainder.

1, 5, 5557

Step-4: Factors of 27795

List of positive integer factors of 27795 that divides 27785 without a remainder.

1, 3, 5, 15, 17, 51, 85, 109, 255, 327, 545, 1635, 1853, 5559, 9265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27785 and 27795. The biggest common factor number is the GCF number.
So the greatest common factor 27785 and 27795 is 5.

Also check out the Least Common Multiple of 27785 and 27795