What is the Greatest Common Factor of 90300 and 90304?

Greatest common factor (GCF) of 90300 and 90304 is 4.

GCF(90300,90304) = 4

We will now calculate the prime factors of 90300 and 90304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90300 and 90304.

How to find the GCF of 90300 and 90304?

We will first find the prime factorization of 90300 and 90304. After we will calculate the factors of 90300 and 90304 and find the biggest common factor number .

Step-1: Prime Factorization of 90300

Prime factors of 90300 are 2, 3, 5, 7, 43. Prime factorization of 90300 in exponential form is:

90300 = 2² × 3¹ × 5² × 7¹ × 43¹

Step-2: 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-3: Factors of 90300

List of positive integer factors of 90300 that divides 90300 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 43, 50, 60, 70, 75, 84, 86, 100, 105, 129, 140, 150, 172, 175, 210, 215, 258, 300, 301, 350, 420, 430, 516, 525, 602, 645, 700, 860, 903, 1050, 1075, 1204, 1290, 1505, 1806, 2100, 2150, 2580, 3010, 3225, 3612, 4300, 4515, 6020, 6450, 7525, 9030, 12900, 15050, 18060, 22575, 30100, 45150

Step-4: Factors of 90304

List of positive integer factors of 90304 that divides 90300 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90300 and 90304. The biggest common factor number is the GCF number.
So the greatest common factor 90300 and 90304 is 4.

Also check out the Least Common Multiple of 90300 and 90304