What is the Greatest Common Factor of 39005 and 39010?

Greatest common factor (GCF) of 39005 and 39010 is 5.

GCF(39005,39010) = 5

We will now calculate the prime factors of 39005 and 39010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39005 and 39010.

How to find the GCF of 39005 and 39010?

We will first find the prime factorization of 39005 and 39010. After we will calculate the factors of 39005 and 39010 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 39010

Prime factors of 39010 are 2, 5, 47, 83. Prime factorization of 39010 in exponential form is:

39010 = 2¹ × 5¹ × 47¹ × 83¹

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 39010

List of positive integer factors of 39010 that divides 39005 without a remainder.

1, 2, 5, 10, 47, 83, 94, 166, 235, 415, 470, 830, 3901, 7802, 19505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39005 and 39010. The biggest common factor number is the GCF number.
So the greatest common factor 39005 and 39010 is 5.

Also check out the Least Common Multiple of 39005 and 39010