What is the Greatest Common Factor of 84315 and 84326?

Greatest common factor (GCF) of 84315 and 84326 is 11.

GCF(84315,84326) = 11

We will now calculate the prime factors of 84315 and 84326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84315 and 84326.

How to find the GCF of 84315 and 84326?

We will first find the prime factorization of 84315 and 84326. After we will calculate the factors of 84315 and 84326 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 84326

Prime factors of 84326 are 2, 11, 3833. Prime factorization of 84326 in exponential form is:

84326 = 2¹ × 11¹ × 3833¹

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 84326

List of positive integer factors of 84326 that divides 84315 without a remainder.

1, 2, 11, 22, 3833, 7666, 42163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84315 and 84326. The biggest common factor number is the GCF number.
So the greatest common factor 84315 and 84326 is 11.

Also check out the Least Common Multiple of 84315 and 84326