What is the Greatest Common Factor of 90321 and 90330?

Greatest common factor (GCF) of 90321 and 90330 is 3.

GCF(90321,90330) = 3

We will now calculate the prime factors of 90321 and 90330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90321 and 90330.

How to find the GCF of 90321 and 90330?

We will first find the prime factorization of 90321 and 90330. After we will calculate the factors of 90321 and 90330 and find the biggest common factor number .

Step-1: Prime Factorization of 90321

Prime factors of 90321 are 3, 7, 11, 17, 23. Prime factorization of 90321 in exponential form is:

90321 = 3¹ × 7¹ × 11¹ × 17¹ × 23¹

Step-2: Prime Factorization of 90330

Prime factors of 90330 are 2, 3, 5, 3011. Prime factorization of 90330 in exponential form is:

90330 = 2¹ × 3¹ × 5¹ × 3011¹

Step-3: Factors of 90321

List of positive integer factors of 90321 that divides 90321 without a remainder.

1, 3, 7, 11, 17, 21, 23, 33, 51, 69, 77, 119, 161, 187, 231, 253, 357, 391, 483, 561, 759, 1173, 1309, 1771, 2737, 3927, 4301, 5313, 8211, 12903, 30107

Step-4: Factors of 90330

List of positive integer factors of 90330 that divides 90321 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3011, 6022, 9033, 15055, 18066, 30110, 45165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90321 and 90330. The biggest common factor number is the GCF number.
So the greatest common factor 90321 and 90330 is 3.

Also check out the Least Common Multiple of 90321 and 90330