What is the Greatest Common Factor of 65875 and 65895?

Greatest common factor (GCF) of 65875 and 65895 is 5.

GCF(65875,65895) = 5

We will now calculate the prime factors of 65875 and 65895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65875 and 65895.

How to find the GCF of 65875 and 65895?

We will first find the prime factorization of 65875 and 65895. After we will calculate the factors of 65875 and 65895 and find the biggest common factor number .

Step-1: Prime Factorization of 65875

Prime factors of 65875 are 5, 17, 31. Prime factorization of 65875 in exponential form is:

65875 = 5³ × 17¹ × 31¹

Step-2: Prime Factorization of 65895

Prime factors of 65895 are 3, 5, 23, 191. Prime factorization of 65895 in exponential form is:

65895 = 3¹ × 5¹ × 23¹ × 191¹

Step-3: Factors of 65875

List of positive integer factors of 65875 that divides 65875 without a remainder.

1, 5, 17, 25, 31, 85, 125, 155, 425, 527, 775, 2125, 2635, 3875, 13175

Step-4: Factors of 65895

List of positive integer factors of 65895 that divides 65875 without a remainder.

1, 3, 5, 15, 23, 69, 115, 191, 345, 573, 955, 2865, 4393, 13179, 21965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65875 and 65895. The biggest common factor number is the GCF number.
So the greatest common factor 65875 and 65895 is 5.

Also check out the Least Common Multiple of 65875 and 65895