What is the Greatest Common Factor of 89466 and 89481?

Greatest common factor (GCF) of 89466 and 89481 is 3.

GCF(89466,89481) = 3

We will now calculate the prime factors of 89466 and 89481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89466 and 89481.

How to find the GCF of 89466 and 89481?

We will first find the prime factorization of 89466 and 89481. After we will calculate the factors of 89466 and 89481 and find the biggest common factor number .

Step-1: Prime Factorization of 89466

Prime factors of 89466 are 2, 3, 13, 31, 37. Prime factorization of 89466 in exponential form is:

89466 = 2¹ × 3¹ × 13¹ × 31¹ × 37¹

Step-2: Prime Factorization of 89481

Prime factors of 89481 are 3, 7, 4261. Prime factorization of 89481 in exponential form is:

89481 = 3¹ × 7¹ × 4261¹

Step-3: Factors of 89466

List of positive integer factors of 89466 that divides 89466 without a remainder.

1, 2, 3, 6, 13, 26, 31, 37, 39, 62, 74, 78, 93, 111, 186, 222, 403, 481, 806, 962, 1147, 1209, 1443, 2294, 2418, 2886, 3441, 6882, 14911, 29822, 44733

Step-4: Factors of 89481

List of positive integer factors of 89481 that divides 89466 without a remainder.

1, 3, 7, 21, 4261, 12783, 29827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89466 and 89481. The biggest common factor number is the GCF number.
So the greatest common factor 89466 and 89481 is 3.

Also check out the Least Common Multiple of 89466 and 89481