What is the Greatest Common Factor of 89445 and 89465?

Greatest common factor (GCF) of 89445 and 89465 is 5.

GCF(89445,89465) = 5

We will now calculate the prime factors of 89445 and 89465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89445 and 89465.

How to find the GCF of 89445 and 89465?

We will first find the prime factorization of 89445 and 89465. After we will calculate the factors of 89445 and 89465 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89465

Prime factors of 89465 are 5, 29, 617. Prime factorization of 89465 in exponential form is:

89465 = 5¹ × 29¹ × 617¹

Step-3: Factors of 89445

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

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

Step-4: Factors of 89465

List of positive integer factors of 89465 that divides 89445 without a remainder.

1, 5, 29, 145, 617, 3085, 17893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89445 and 89465. The biggest common factor number is the GCF number.
So the greatest common factor 89445 and 89465 is 5.

Also check out the Least Common Multiple of 89445 and 89465