What is the Greatest Common Factor of 83870 and 83889?

Greatest common factor (GCF) of 83870 and 83889 is 1.

GCF(83870,83889) = 1

We will now calculate the prime factors of 83870 and 83889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83870 and 83889.

How to find the GCF of 83870 and 83889?

We will first find the prime factorization of 83870 and 83889. After we will calculate the factors of 83870 and 83889 and find the biggest common factor number .

Step-1: Prime Factorization of 83870

Prime factors of 83870 are 2, 5, 8387. Prime factorization of 83870 in exponential form is:

83870 = 2¹ × 5¹ × 8387¹

Step-2: Prime Factorization of 83889

Prime factors of 83889 are 3, 13, 239. Prime factorization of 83889 in exponential form is:

83889 = 3³ × 13¹ × 239¹

Step-3: Factors of 83870

List of positive integer factors of 83870 that divides 83870 without a remainder.

1, 2, 5, 10, 8387, 16774, 41935

Step-4: Factors of 83889

List of positive integer factors of 83889 that divides 83870 without a remainder.

1, 3, 9, 13, 27, 39, 117, 239, 351, 717, 2151, 3107, 6453, 9321, 27963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83870 and 83889. The biggest common factor number is the GCF number.
So the greatest common factor 83870 and 83889 is 1.

Also check out the Least Common Multiple of 83870 and 83889