What is the Greatest Common Factor of 89088 and 89104?

Greatest common factor (GCF) of 89088 and 89104 is 16.

GCF(89088,89104) = 16

We will now calculate the prime factors of 89088 and 89104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89088 and 89104.

How to find the GCF of 89088 and 89104?

We will first find the prime factorization of 89088 and 89104. After we will calculate the factors of 89088 and 89104 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 89104

Prime factors of 89104 are 2, 5569. Prime factorization of 89104 in exponential form is:

89104 = 2⁴ × 5569¹

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 89104

List of positive integer factors of 89104 that divides 89088 without a remainder.

1, 2, 4, 8, 16, 5569, 11138, 22276, 44552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89088 and 89104. The biggest common factor number is the GCF number.
So the greatest common factor 89088 and 89104 is 16.

Also check out the Least Common Multiple of 89088 and 89104