What is the Greatest Common Factor of 39008 and 39027?

Greatest common factor (GCF) of 39008 and 39027 is 1.

GCF(39008,39027) = 1

We will now calculate the prime factors of 39008 and 39027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39008 and 39027.

How to find the GCF of 39008 and 39027?

We will first find the prime factorization of 39008 and 39027. After we will calculate the factors of 39008 and 39027 and find the biggest common factor number .

Step-1: Prime Factorization of 39008

Prime factors of 39008 are 2, 23, 53. Prime factorization of 39008 in exponential form is:

39008 = 2⁵ × 23¹ × 53¹

Step-2: Prime Factorization of 39027

Prime factors of 39027 are 3, 13009. Prime factorization of 39027 in exponential form is:

39027 = 3¹ × 13009¹

Step-3: Factors of 39008

List of positive integer factors of 39008 that divides 39008 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 53, 92, 106, 184, 212, 368, 424, 736, 848, 1219, 1696, 2438, 4876, 9752, 19504

Step-4: Factors of 39027

List of positive integer factors of 39027 that divides 39008 without a remainder.

1, 3, 13009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39008 and 39027. The biggest common factor number is the GCF number.
So the greatest common factor 39008 and 39027 is 1.

Also check out the Least Common Multiple of 39008 and 39027