What is the Greatest Common Factor of 65858 and 65875?

Greatest common factor (GCF) of 65858 and 65875 is 17.

GCF(65858,65875) = 17

We will now calculate the prime factors of 65858 and 65875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65858 and 65875.

How to find the GCF of 65858 and 65875?

We will first find the prime factorization of 65858 and 65875. After we will calculate the factors of 65858 and 65875 and find the biggest common factor number .

Step-1: Prime Factorization of 65858

Prime factors of 65858 are 2, 13, 17, 149. Prime factorization of 65858 in exponential form is:

65858 = 2¹ × 13¹ × 17¹ × 149¹

Step-2: 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-3: Factors of 65858

List of positive integer factors of 65858 that divides 65858 without a remainder.

1, 2, 13, 17, 26, 34, 149, 221, 298, 442, 1937, 2533, 3874, 5066, 32929

Step-4: Factors of 65875

List of positive integer factors of 65875 that divides 65858 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65858 and 65875. The biggest common factor number is the GCF number.
So the greatest common factor 65858 and 65875 is 17.

Also check out the Least Common Multiple of 65858 and 65875