What is the Greatest Common Factor of 39005 and 39013?

Greatest common factor (GCF) of 39005 and 39013 is 1.

GCF(39005,39013) = 1

We will now calculate the prime factors of 39005 and 39013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39005 and 39013.

How to find the GCF of 39005 and 39013?

We will first find the prime factorization of 39005 and 39013. After we will calculate the factors of 39005 and 39013 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 39013

Prime factors of 39013 are 13, 3001. Prime factorization of 39013 in exponential form is:

39013 = 13¹ × 3001¹

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 39013

List of positive integer factors of 39013 that divides 39005 without a remainder.

1, 13, 3001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39005 and 39013. The biggest common factor number is the GCF number.
So the greatest common factor 39005 and 39013 is 1.

Also check out the Least Common Multiple of 39005 and 39013