What is the Greatest Common Factor of 89223 and 89238?

Greatest common factor (GCF) of 89223 and 89238 is 3.

GCF(89223,89238) = 3

We will now calculate the prime factors of 89223 and 89238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89223 and 89238.

How to find the GCF of 89223 and 89238?

We will first find the prime factorization of 89223 and 89238. After we will calculate the factors of 89223 and 89238 and find the biggest common factor number .

Step-1: Prime Factorization of 89223

Prime factors of 89223 are 3, 29741. Prime factorization of 89223 in exponential form is:

89223 = 3¹ × 29741¹

Step-2: Prime Factorization of 89238

Prime factors of 89238 are 2, 3, 107, 139. Prime factorization of 89238 in exponential form is:

89238 = 2¹ × 3¹ × 107¹ × 139¹

Step-3: Factors of 89223

List of positive integer factors of 89223 that divides 89223 without a remainder.

1, 3, 29741

Step-4: Factors of 89238

List of positive integer factors of 89238 that divides 89223 without a remainder.

1, 2, 3, 6, 107, 139, 214, 278, 321, 417, 642, 834, 14873, 29746, 44619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89223 and 89238. The biggest common factor number is the GCF number.
So the greatest common factor 89223 and 89238 is 3.

Also check out the Least Common Multiple of 89223 and 89238