What is the Greatest Common Factor of 39005 and 39015?

Greatest common factor (GCF) of 39005 and 39015 is 5.

GCF(39005,39015) = 5

We will now calculate the prime factors of 39005 and 39015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39005 and 39015.

How to find the GCF of 39005 and 39015?

We will first find the prime factorization of 39005 and 39015. After we will calculate the factors of 39005 and 39015 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 39015

Prime factors of 39015 are 3, 5, 17. Prime factorization of 39015 in exponential form is:

39015 = 3³ × 5¹ × 17²

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 39015

List of positive integer factors of 39015 that divides 39005 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 289, 459, 765, 867, 1445, 2295, 2601, 4335, 7803, 13005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39005 and 39015. The biggest common factor number is the GCF number.
So the greatest common factor 39005 and 39015 is 5.

Also check out the Least Common Multiple of 39005 and 39015