What is the Greatest Common Factor of 90304 and 90324?

Greatest common factor (GCF) of 90304 and 90324 is 4.

GCF(90304,90324) = 4

We will now calculate the prime factors of 90304 and 90324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90304 and 90324.

How to find the GCF of 90304 and 90324?

We will first find the prime factorization of 90304 and 90324. After we will calculate the factors of 90304 and 90324 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 90324

Prime factors of 90324 are 2, 3, 13, 193. Prime factorization of 90324 in exponential form is:

90324 = 2² × 3² × 13¹ × 193¹

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 90324

List of positive integer factors of 90324 that divides 90304 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 193, 234, 386, 468, 579, 772, 1158, 1737, 2316, 2509, 3474, 5018, 6948, 7527, 10036, 15054, 22581, 30108, 45162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90304 and 90324. The biggest common factor number is the GCF number.
So the greatest common factor 90304 and 90324 is 4.

Also check out the Least Common Multiple of 90304 and 90324