What is the Greatest Common Factor of 84303 and 84315?

Greatest common factor (GCF) of 84303 and 84315 is 3.

GCF(84303,84315) = 3

We will now calculate the prime factors of 84303 and 84315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84303 and 84315.

How to find the GCF of 84303 and 84315?

We will first find the prime factorization of 84303 and 84315. After we will calculate the factors of 84303 and 84315 and find the biggest common factor number .

Step-1: Prime Factorization of 84303

Prime factors of 84303 are 3, 17, 19, 29. Prime factorization of 84303 in exponential form is:

84303 = 3² × 17¹ × 19¹ × 29¹

Step-2: Prime Factorization of 84315

Prime factors of 84315 are 3, 5, 7, 11, 73. Prime factorization of 84315 in exponential form is:

84315 = 3¹ × 5¹ × 7¹ × 11¹ × 73¹

Step-3: Factors of 84303

List of positive integer factors of 84303 that divides 84303 without a remainder.

1, 3, 9, 17, 19, 29, 51, 57, 87, 153, 171, 261, 323, 493, 551, 969, 1479, 1653, 2907, 4437, 4959, 9367, 28101

Step-4: Factors of 84315

List of positive integer factors of 84315 that divides 84303 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 73, 77, 105, 165, 219, 231, 365, 385, 511, 803, 1095, 1155, 1533, 2409, 2555, 4015, 5621, 7665, 12045, 16863, 28105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84303 and 84315. The biggest common factor number is the GCF number.
So the greatest common factor 84303 and 84315 is 3.

Also check out the Least Common Multiple of 84303 and 84315