What is the Greatest Common Factor of 89469 and 89484?

Greatest common factor (GCF) of 89469 and 89484 is 3.

GCF(89469,89484) = 3

We will now calculate the prime factors of 89469 and 89484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89469 and 89484.

How to find the GCF of 89469 and 89484?

We will first find the prime factorization of 89469 and 89484. After we will calculate the factors of 89469 and 89484 and find the biggest common factor number .

Step-1: Prime Factorization of 89469

Prime factors of 89469 are 3, 9941. Prime factorization of 89469 in exponential form is:

89469 = 3² × 9941¹

Step-2: Prime Factorization of 89484

Prime factors of 89484 are 2, 3, 7457. Prime factorization of 89484 in exponential form is:

89484 = 2² × 3¹ × 7457¹

Step-3: Factors of 89469

List of positive integer factors of 89469 that divides 89469 without a remainder.

1, 3, 9, 9941, 29823

Step-4: Factors of 89484

List of positive integer factors of 89484 that divides 89469 without a remainder.

1, 2, 3, 4, 6, 12, 7457, 14914, 22371, 29828, 44742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89469 and 89484. The biggest common factor number is the GCF number.
So the greatest common factor 89469 and 89484 is 3.

Also check out the Least Common Multiple of 89469 and 89484