What is the Greatest Common Factor of 27805 and 27810?

Greatest common factor (GCF) of 27805 and 27810 is 5.

GCF(27805,27810) = 5

We will now calculate the prime factors of 27805 and 27810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27805 and 27810.

How to find the GCF of 27805 and 27810?

We will first find the prime factorization of 27805 and 27810. After we will calculate the factors of 27805 and 27810 and find the biggest common factor number .

Step-1: Prime Factorization of 27805

Prime factors of 27805 are 5, 67, 83. Prime factorization of 27805 in exponential form is:

27805 = 5¹ × 67¹ × 83¹

Step-2: Prime Factorization of 27810

Prime factors of 27810 are 2, 3, 5, 103. Prime factorization of 27810 in exponential form is:

27810 = 2¹ × 3³ × 5¹ × 103¹

Step-3: Factors of 27805

List of positive integer factors of 27805 that divides 27805 without a remainder.

1, 5, 67, 83, 335, 415, 5561

Step-4: Factors of 27810

List of positive integer factors of 27810 that divides 27805 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 103, 135, 206, 270, 309, 515, 618, 927, 1030, 1545, 1854, 2781, 3090, 4635, 5562, 9270, 13905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27805 and 27810. The biggest common factor number is the GCF number.
So the greatest common factor 27805 and 27810 is 5.

Also check out the Least Common Multiple of 27805 and 27810