What is the Greatest Common Factor of 84315 and 84330?

Greatest common factor (GCF) of 84315 and 84330 is 15.

GCF(84315,84330) = 15

We will now calculate the prime factors of 84315 and 84330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84315 and 84330.

How to find the GCF of 84315 and 84330?

We will first find the prime factorization of 84315 and 84330. After we will calculate the factors of 84315 and 84330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84330

Prime factors of 84330 are 2, 3, 5, 937. Prime factorization of 84330 in exponential form is:

84330 = 2¹ × 3² × 5¹ × 937¹

Step-3: Factors of 84315

List of positive integer factors of 84315 that divides 84315 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

Step-4: Factors of 84330

List of positive integer factors of 84330 that divides 84315 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 937, 1874, 2811, 4685, 5622, 8433, 9370, 14055, 16866, 28110, 42165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84315 and 84330. The biggest common factor number is the GCF number.
So the greatest common factor 84315 and 84330 is 15.

Also check out the Least Common Multiple of 84315 and 84330