What is the Greatest Common Factor of 90916 and 90933?

Greatest common factor (GCF) of 90916 and 90933 is 17.

GCF(90916,90933) = 17

We will now calculate the prime factors of 90916 and 90933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90916 and 90933.

How to find the GCF of 90916 and 90933?

We will first find the prime factorization of 90916 and 90933. After we will calculate the factors of 90916 and 90933 and find the biggest common factor number .

Step-1: Prime Factorization of 90916

Prime factors of 90916 are 2, 7, 17, 191. Prime factorization of 90916 in exponential form is:

90916 = 2² × 7¹ × 17¹ × 191¹

Step-2: Prime Factorization of 90933

Prime factors of 90933 are 3, 17, 1783. Prime factorization of 90933 in exponential form is:

90933 = 3¹ × 17¹ × 1783¹

Step-3: Factors of 90916

List of positive integer factors of 90916 that divides 90916 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 191, 238, 382, 476, 764, 1337, 2674, 3247, 5348, 6494, 12988, 22729, 45458

Step-4: Factors of 90933

List of positive integer factors of 90933 that divides 90916 without a remainder.

1, 3, 17, 51, 1783, 5349, 30311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90916 and 90933. The biggest common factor number is the GCF number.
So the greatest common factor 90916 and 90933 is 17.

Also check out the Least Common Multiple of 90916 and 90933