What is the Greatest Common Factor of 89889 and 89898?

Greatest common factor (GCF) of 89889 and 89898 is 3.

GCF(89889,89898) = 3

We will now calculate the prime factors of 89889 and 89898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89889 and 89898.

How to find the GCF of 89889 and 89898?

We will first find the prime factorization of 89889 and 89898. After we will calculate the factors of 89889 and 89898 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89898

Prime factors of 89898 are 2, 3, 14983. Prime factorization of 89898 in exponential form is:

89898 = 2¹ × 3¹ × 14983¹

Step-3: Factors of 89889

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

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

Step-4: Factors of 89898

List of positive integer factors of 89898 that divides 89889 without a remainder.

1, 2, 3, 6, 14983, 29966, 44949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89889 and 89898. The biggest common factor number is the GCF number.
So the greatest common factor 89889 and 89898 is 3.

Also check out the Least Common Multiple of 89889 and 89898