What is the Greatest Common Factor of 89883 and 89889?

Greatest common factor (GCF) of 89883 and 89889 is 3.

GCF(89883,89889) = 3

We will now calculate the prime factors of 89883 and 89889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89883 and 89889.

How to find the GCF of 89883 and 89889?

We will first find the prime factorization of 89883 and 89889. After we will calculate the factors of 89883 and 89889 and find the biggest common factor number .

Step-1: Prime Factorization of 89883

Prime factors of 89883 are 3, 3329. Prime factorization of 89883 in exponential form is:

89883 = 3³ × 3329¹

Step-2: Prime Factorization of 89889

Prime factors of 89889 are 3, 19, 83. Prime factorization of 89889 in exponential form is:

89889 = 3¹ × 19² × 83¹

Step-3: Factors of 89883

List of positive integer factors of 89883 that divides 89883 without a remainder.

1, 3, 9, 27, 3329, 9987, 29961

Step-4: Factors of 89889

List of positive integer factors of 89889 that divides 89883 without a remainder.

1, 3, 19, 57, 83, 249, 361, 1083, 1577, 4731, 29963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89883 and 89889. The biggest common factor number is the GCF number.
So the greatest common factor 89883 and 89889 is 3.

Also check out the Least Common Multiple of 89883 and 89889