What is the Greatest Common Factor of 83889 and 83898?

Greatest common factor (GCF) of 83889 and 83898 is 9.

GCF(83889,83898) = 9

We will now calculate the prime factors of 83889 and 83898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83889 and 83898.

How to find the GCF of 83889 and 83898?

We will first find the prime factorization of 83889 and 83898. After we will calculate the factors of 83889 and 83898 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83898

Prime factors of 83898 are 2, 3, 59, 79. Prime factorization of 83898 in exponential form is:

83898 = 2¹ × 3² × 59¹ × 79¹

Step-3: Factors of 83889

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

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

Step-4: Factors of 83898

List of positive integer factors of 83898 that divides 83889 without a remainder.

1, 2, 3, 6, 9, 18, 59, 79, 118, 158, 177, 237, 354, 474, 531, 711, 1062, 1422, 4661, 9322, 13983, 27966, 41949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83889 and 83898. The biggest common factor number is the GCF number.
So the greatest common factor 83889 and 83898 is 9.

Also check out the Least Common Multiple of 83889 and 83898