What is the Greatest Common Factor of 39005 and 39017?

Greatest common factor (GCF) of 39005 and 39017 is 1.

GCF(39005,39017) = 1

We will now calculate the prime factors of 39005 and 39017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39005 and 39017.

How to find the GCF of 39005 and 39017?

We will first find the prime factorization of 39005 and 39017. After we will calculate the factors of 39005 and 39017 and find the biggest common factor number .

Step-1: Prime Factorization of 39005

Prime factors of 39005 are 5, 29, 269. Prime factorization of 39005 in exponential form is:

39005 = 5¹ × 29¹ × 269¹

Step-2: Prime Factorization of 39017

Prime factors of 39017 are 11, 3547. Prime factorization of 39017 in exponential form is:

39017 = 11¹ × 3547¹

Step-3: Factors of 39005

List of positive integer factors of 39005 that divides 39005 without a remainder.

1, 5, 29, 145, 269, 1345, 7801

Step-4: Factors of 39017

List of positive integer factors of 39017 that divides 39005 without a remainder.

1, 11, 3547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39005 and 39017. The biggest common factor number is the GCF number.
So the greatest common factor 39005 and 39017 is 1.

Also check out the Least Common Multiple of 39005 and 39017