What is the Greatest Common Factor of 64001 and 64017?

Greatest common factor (GCF) of 64001 and 64017 is 1.

GCF(64001,64017) = 1

We will now calculate the prime factors of 64001 and 64017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64001 and 64017.

How to find the GCF of 64001 and 64017?

We will first find the prime factorization of 64001 and 64017. After we will calculate the factors of 64001 and 64017 and find the biggest common factor number .

Step-1: Prime Factorization of 64001

Prime factors of 64001 are 7, 41, 223. Prime factorization of 64001 in exponential form is:

64001 = 7¹ × 41¹ × 223¹

Step-2: Prime Factorization of 64017

Prime factors of 64017 are 3, 2371. Prime factorization of 64017 in exponential form is:

64017 = 3³ × 2371¹

Step-3: Factors of 64001

List of positive integer factors of 64001 that divides 64001 without a remainder.

1, 7, 41, 223, 287, 1561, 9143

Step-4: Factors of 64017

List of positive integer factors of 64017 that divides 64001 without a remainder.

1, 3, 9, 27, 2371, 7113, 21339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64001 and 64017. The biggest common factor number is the GCF number.
So the greatest common factor 64001 and 64017 is 1.

Also check out the Least Common Multiple of 64001 and 64017