What is the Greatest Common Factor of 84315 and 84333?

Greatest common factor (GCF) of 84315 and 84333 is 3.

GCF(84315,84333) = 3

We will now calculate the prime factors of 84315 and 84333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84315 and 84333.

How to find the GCF of 84315 and 84333?

We will first find the prime factorization of 84315 and 84333. After we will calculate the factors of 84315 and 84333 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 84333

Prime factors of 84333 are 3, 28111. Prime factorization of 84333 in exponential form is:

84333 = 3¹ × 28111¹

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 84333

List of positive integer factors of 84333 that divides 84315 without a remainder.

1, 3, 28111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84315 and 84333. The biggest common factor number is the GCF number.
So the greatest common factor 84315 and 84333 is 3.

Also check out the Least Common Multiple of 84315 and 84333