What is the Greatest Common Factor of 39871 and 39889?

Greatest common factor (GCF) of 39871 and 39889 is 1.

GCF(39871,39889) = 1

We will now calculate the prime factors of 39871 and 39889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39871 and 39889.

How to find the GCF of 39871 and 39889?

We will first find the prime factorization of 39871 and 39889. After we will calculate the factors of 39871 and 39889 and find the biggest common factor number .

Step-1: Prime Factorization of 39871

Prime factors of 39871 are 13, 3067. Prime factorization of 39871 in exponential form is:

39871 = 13¹ × 3067¹

Step-2: Prime Factorization of 39889

Prime factors of 39889 are 113, 353. Prime factorization of 39889 in exponential form is:

39889 = 113¹ × 353¹

Step-3: Factors of 39871

List of positive integer factors of 39871 that divides 39871 without a remainder.

1, 13, 3067

Step-4: Factors of 39889

List of positive integer factors of 39889 that divides 39871 without a remainder.

1, 113, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39871 and 39889. The biggest common factor number is the GCF number.
So the greatest common factor 39871 and 39889 is 1.

Also check out the Least Common Multiple of 39871 and 39889