What is the Greatest Common Factor of 65875 and 65885?

Greatest common factor (GCF) of 65875 and 65885 is 5.

GCF(65875,65885) = 5

We will now calculate the prime factors of 65875 and 65885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65875 and 65885.

How to find the GCF of 65875 and 65885?

We will first find the prime factorization of 65875 and 65885. After we will calculate the factors of 65875 and 65885 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 65885

Prime factors of 65885 are 5, 13177. Prime factorization of 65885 in exponential form is:

65885 = 5¹ × 13177¹

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 65885

List of positive integer factors of 65885 that divides 65875 without a remainder.

1, 5, 13177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65875 and 65885. The biggest common factor number is the GCF number.
So the greatest common factor 65875 and 65885 is 5.

Also check out the Least Common Multiple of 65875 and 65885