What is the Greatest Common Factor of 89088 and 89093?

Greatest common factor (GCF) of 89088 and 89093 is 1.

GCF(89088,89093) = 1

We will now calculate the prime factors of 89088 and 89093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89088 and 89093.

How to find the GCF of 89088 and 89093?

We will first find the prime factorization of 89088 and 89093. After we will calculate the factors of 89088 and 89093 and find the biggest common factor number .

Step-1: Prime Factorization of 89088

Prime factors of 89088 are 2, 3, 29. Prime factorization of 89088 in exponential form is:

89088 = 2¹⁰ × 3¹ × 29¹

Step-2: Prime Factorization of 89093

Prime factors of 89093 are 41, 53. Prime factorization of 89093 in exponential form is:

89093 = 41² × 53¹

Step-3: Factors of 89088

List of positive integer factors of 89088 that divides 89088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 128, 174, 192, 232, 256, 348, 384, 464, 512, 696, 768, 928, 1024, 1392, 1536, 1856, 2784, 3072, 3712, 5568, 7424, 11136, 14848, 22272, 29696, 44544

Step-4: Factors of 89093

List of positive integer factors of 89093 that divides 89088 without a remainder.

1, 41, 53, 1681, 2173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89088 and 89093. The biggest common factor number is the GCF number.
So the greatest common factor 89088 and 89093 is 1.

Also check out the Least Common Multiple of 89088 and 89093