What is the Greatest Common Factor of 95805 and 95810?

Greatest common factor (GCF) of 95805 and 95810 is 5.

GCF(95805,95810) = 5

We will now calculate the prime factors of 95805 and 95810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95805 and 95810.

How to find the GCF of 95805 and 95810?

We will first find the prime factorization of 95805 and 95810. After we will calculate the factors of 95805 and 95810 and find the biggest common factor number .

Step-1: Prime Factorization of 95805

Prime factors of 95805 are 3, 5, 2129. Prime factorization of 95805 in exponential form is:

95805 = 3² × 5¹ × 2129¹

Step-2: Prime Factorization of 95810

Prime factors of 95810 are 2, 5, 11, 13, 67. Prime factorization of 95810 in exponential form is:

95810 = 2¹ × 5¹ × 11¹ × 13¹ × 67¹

Step-3: Factors of 95805

List of positive integer factors of 95805 that divides 95805 without a remainder.

1, 3, 5, 9, 15, 45, 2129, 6387, 10645, 19161, 31935

Step-4: Factors of 95810

List of positive integer factors of 95810 that divides 95805 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 67, 110, 130, 134, 143, 286, 335, 670, 715, 737, 871, 1430, 1474, 1742, 3685, 4355, 7370, 8710, 9581, 19162, 47905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95805 and 95810. The biggest common factor number is the GCF number.
So the greatest common factor 95805 and 95810 is 5.

Also check out the Least Common Multiple of 95805 and 95810