What is the Greatest Common Factor of 89198 and 89216?

Greatest common factor (GCF) of 89198 and 89216 is 2.

GCF(89198,89216) = 2

We will now calculate the prime factors of 89198 and 89216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89198 and 89216.

How to find the GCF of 89198 and 89216?

We will first find the prime factorization of 89198 and 89216. After we will calculate the factors of 89198 and 89216 and find the biggest common factor number .

Step-1: Prime Factorization of 89198

Prime factors of 89198 are 2, 103, 433. Prime factorization of 89198 in exponential form is:

89198 = 2¹ × 103¹ × 433¹

Step-2: Prime Factorization of 89216

Prime factors of 89216 are 2, 17, 41. Prime factorization of 89216 in exponential form is:

89216 = 2⁷ × 17¹ × 41¹

Step-3: Factors of 89198

List of positive integer factors of 89198 that divides 89198 without a remainder.

1, 2, 103, 206, 433, 866, 44599

Step-4: Factors of 89216

List of positive integer factors of 89216 that divides 89198 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 41, 64, 68, 82, 128, 136, 164, 272, 328, 544, 656, 697, 1088, 1312, 1394, 2176, 2624, 2788, 5248, 5576, 11152, 22304, 44608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89198 and 89216. The biggest common factor number is the GCF number.
So the greatest common factor 89198 and 89216 is 2.

Also check out the Least Common Multiple of 89198 and 89216