What is the Greatest Common Factor of 89859 and 89874?

Greatest common factor (GCF) of 89859 and 89874 is 3.

GCF(89859,89874) = 3

We will now calculate the prime factors of 89859 and 89874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89859 and 89874.

How to find the GCF of 89859 and 89874?

We will first find the prime factorization of 89859 and 89874. After we will calculate the factors of 89859 and 89874 and find the biggest common factor number .

Step-1: Prime Factorization of 89859

Prime factors of 89859 are 3, 7, 11, 389. Prime factorization of 89859 in exponential form is:

89859 = 3¹ × 7¹ × 11¹ × 389¹

Step-2: Prime Factorization of 89874

Prime factors of 89874 are 2, 3, 4993. Prime factorization of 89874 in exponential form is:

89874 = 2¹ × 3² × 4993¹

Step-3: Factors of 89859

List of positive integer factors of 89859 that divides 89859 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 389, 1167, 2723, 4279, 8169, 12837, 29953

Step-4: Factors of 89874

List of positive integer factors of 89874 that divides 89859 without a remainder.

1, 2, 3, 6, 9, 18, 4993, 9986, 14979, 29958, 44937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89859 and 89874. The biggest common factor number is the GCF number.
So the greatest common factor 89859 and 89874 is 3.

Also check out the Least Common Multiple of 89859 and 89874