What is the Greatest Common Factor of 89445 and 89463?

Greatest common factor (GCF) of 89445 and 89463 is 3.

GCF(89445,89463) = 3

We will now calculate the prime factors of 89445 and 89463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89445 and 89463.

How to find the GCF of 89445 and 89463?

We will first find the prime factorization of 89445 and 89463. After we will calculate the factors of 89445 and 89463 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 89463

Prime factors of 89463 are 3, 11, 2711. Prime factorization of 89463 in exponential form is:

89463 = 3¹ × 11¹ × 2711¹

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 89463

List of positive integer factors of 89463 that divides 89445 without a remainder.

1, 3, 11, 33, 2711, 8133, 29821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89445 and 89463. The biggest common factor number is the GCF number.
So the greatest common factor 89445 and 89463 is 3.

Also check out the Least Common Multiple of 89445 and 89463