What is the Greatest Common Factor of 95858 and 95865?

Greatest common factor (GCF) of 95858 and 95865 is 7.

GCF(95858,95865) = 7

We will now calculate the prime factors of 95858 and 95865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95858 and 95865.

How to find the GCF of 95858 and 95865?

We will first find the prime factorization of 95858 and 95865. After we will calculate the factors of 95858 and 95865 and find the biggest common factor number .

Step-1: Prime Factorization of 95858

Prime factors of 95858 are 2, 7, 41, 167. Prime factorization of 95858 in exponential form is:

95858 = 2¹ × 7¹ × 41¹ × 167¹

Step-2: Prime Factorization of 95865

Prime factors of 95865 are 3, 5, 7, 11, 83. Prime factorization of 95865 in exponential form is:

95865 = 3¹ × 5¹ × 7¹ × 11¹ × 83¹

Step-3: Factors of 95858

List of positive integer factors of 95858 that divides 95858 without a remainder.

1, 2, 7, 14, 41, 82, 167, 287, 334, 574, 1169, 2338, 6847, 13694, 47929

Step-4: Factors of 95865

List of positive integer factors of 95865 that divides 95858 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 83, 105, 165, 231, 249, 385, 415, 581, 913, 1155, 1245, 1743, 2739, 2905, 4565, 6391, 8715, 13695, 19173, 31955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95858 and 95865. The biggest common factor number is the GCF number.
So the greatest common factor 95858 and 95865 is 7.

Also check out the Least Common Multiple of 95858 and 95865