What is the Greatest Common Factor of 89439 and 89445?

Greatest common factor (GCF) of 89439 and 89445 is 3.

GCF(89439,89445) = 3

We will now calculate the prime factors of 89439 and 89445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89439 and 89445.

How to find the GCF of 89439 and 89445?

We will first find the prime factorization of 89439 and 89445. After we will calculate the factors of 89439 and 89445 and find the biggest common factor number .

Step-1: Prime Factorization of 89439

Prime factors of 89439 are 3, 7, 4259. Prime factorization of 89439 in exponential form is:

89439 = 3¹ × 7¹ × 4259¹

Step-2: Prime Factorization of 89445

Prime factors of 89445 are 3, 5, 67, 89. Prime factorization of 89445 in exponential form is:

89445 = 3¹ × 5¹ × 67¹ × 89¹

Step-3: Factors of 89439

List of positive integer factors of 89439 that divides 89439 without a remainder.

1, 3, 7, 21, 4259, 12777, 29813

Step-4: Factors of 89445

List of positive integer factors of 89445 that divides 89439 without a remainder.

1, 3, 5, 15, 67, 89, 201, 267, 335, 445, 1005, 1335, 5963, 17889, 29815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89439 and 89445. The biggest common factor number is the GCF number.
So the greatest common factor 89439 and 89445 is 3.

Also check out the Least Common Multiple of 89439 and 89445