What is the Greatest Common Factor of 89454 and 89469?

Greatest common factor (GCF) of 89454 and 89469 is 3.

GCF(89454,89469) = 3

We will now calculate the prime factors of 89454 and 89469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89454 and 89469.

How to find the GCF of 89454 and 89469?

We will first find the prime factorization of 89454 and 89469. After we will calculate the factors of 89454 and 89469 and find the biggest common factor number .

Step-1: Prime Factorization of 89454

Prime factors of 89454 are 2, 3, 17, 877. Prime factorization of 89454 in exponential form is:

89454 = 2¹ × 3¹ × 17¹ × 877¹

Step-2: Prime Factorization of 89469

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

89469 = 3² × 9941¹

Step-3: Factors of 89454

List of positive integer factors of 89454 that divides 89454 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 877, 1754, 2631, 5262, 14909, 29818, 44727

Step-4: Factors of 89469

List of positive integer factors of 89469 that divides 89454 without a remainder.

1, 3, 9, 9941, 29823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89454 and 89469. The biggest common factor number is the GCF number.
So the greatest common factor 89454 and 89469 is 3.

Also check out the Least Common Multiple of 89454 and 89469