What is the Greatest Common Factor of 59001 and 59017?

Greatest common factor (GCF) of 59001 and 59017 is 1.

GCF(59001,59017) = 1

We will now calculate the prime factors of 59001 and 59017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59001 and 59017.

How to find the GCF of 59001 and 59017?

We will first find the prime factorization of 59001 and 59017. After we will calculate the factors of 59001 and 59017 and find the biggest common factor number .

Step-1: Prime Factorization of 59001

Prime factors of 59001 are 3, 71, 277. Prime factorization of 59001 in exponential form is:

59001 = 3¹ × 71¹ × 277¹

Step-2: Prime Factorization of 59017

Prime factors of 59017 are 7, 8431. Prime factorization of 59017 in exponential form is:

59017 = 7¹ × 8431¹

Step-3: Factors of 59001

List of positive integer factors of 59001 that divides 59001 without a remainder.

1, 3, 71, 213, 277, 831, 19667

Step-4: Factors of 59017

List of positive integer factors of 59017 that divides 59001 without a remainder.

1, 7, 8431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59001 and 59017. The biggest common factor number is the GCF number.
So the greatest common factor 59001 and 59017 is 1.

Also check out the Least Common Multiple of 59001 and 59017