What is the Greatest Common Factor of 89466 and 89480?

Greatest common factor (GCF) of 89466 and 89480 is 2.

GCF(89466,89480) = 2

We will now calculate the prime factors of 89466 and 89480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89466 and 89480.

How to find the GCF of 89466 and 89480?

We will first find the prime factorization of 89466 and 89480. After we will calculate the factors of 89466 and 89480 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 89480

Prime factors of 89480 are 2, 5, 2237. Prime factorization of 89480 in exponential form is:

89480 = 2³ × 5¹ × 2237¹

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 89480

List of positive integer factors of 89480 that divides 89466 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2237, 4474, 8948, 11185, 17896, 22370, 44740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89466 and 89480. The biggest common factor number is the GCF number.
So the greatest common factor 89466 and 89480 is 2.

Also check out the Least Common Multiple of 89466 and 89480