What is the Greatest Common Factor of 89437 and 89454?

Greatest common factor (GCF) of 89437 and 89454 is 17.

GCF(89437,89454) = 17

We will now calculate the prime factors of 89437 and 89454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89437 and 89454.

How to find the GCF of 89437 and 89454?

We will first find the prime factorization of 89437 and 89454. After we will calculate the factors of 89437 and 89454 and find the biggest common factor number .

Step-1: Prime Factorization of 89437

Prime factors of 89437 are 17, 5261. Prime factorization of 89437 in exponential form is:

89437 = 17¹ × 5261¹

Step-2: 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-3: Factors of 89437

List of positive integer factors of 89437 that divides 89437 without a remainder.

1, 17, 5261

Step-4: Factors of 89454

List of positive integer factors of 89454 that divides 89437 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89437 and 89454. The biggest common factor number is the GCF number.
So the greatest common factor 89437 and 89454 is 17.

Also check out the Least Common Multiple of 89437 and 89454