What is the Greatest Common Factor of 90304 and 90311?

Greatest common factor (GCF) of 90304 and 90311 is 1.

GCF(90304,90311) = 1

We will now calculate the prime factors of 90304 and 90311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90304 and 90311.

How to find the GCF of 90304 and 90311?

We will first find the prime factorization of 90304 and 90311. After we will calculate the factors of 90304 and 90311 and find the biggest common factor number .

Step-1: Prime Factorization of 90304

Prime factors of 90304 are 2, 17, 83. Prime factorization of 90304 in exponential form is:

90304 = 2⁶ × 17¹ × 83¹

Step-2: Prime Factorization of 90311

Prime factors of 90311 are 13, 6947. Prime factorization of 90311 in exponential form is:

90311 = 13¹ × 6947¹

Step-3: Factors of 90304

List of positive integer factors of 90304 that divides 90304 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 83, 136, 166, 272, 332, 544, 664, 1088, 1328, 1411, 2656, 2822, 5312, 5644, 11288, 22576, 45152

Step-4: Factors of 90311

List of positive integer factors of 90311 that divides 90304 without a remainder.

1, 13, 6947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90304 and 90311. The biggest common factor number is the GCF number.
So the greatest common factor 90304 and 90311 is 1.

Also check out the Least Common Multiple of 90304 and 90311