What is the Greatest Common Factor of 84399 and 84417?

Greatest common factor (GCF) of 84399 and 84417 is 3.

GCF(84399,84417) = 3

We will now calculate the prime factors of 84399 and 84417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84399 and 84417.

How to find the GCF of 84399 and 84417?

We will first find the prime factorization of 84399 and 84417. After we will calculate the factors of 84399 and 84417 and find the biggest common factor number .

Step-1: Prime Factorization of 84399

Prime factors of 84399 are 3, 7, 4019. Prime factorization of 84399 in exponential form is:

84399 = 3¹ × 7¹ × 4019¹

Step-2: Prime Factorization of 84417

Prime factors of 84417 are 3, 19, 1481. Prime factorization of 84417 in exponential form is:

84417 = 3¹ × 19¹ × 1481¹

Step-3: Factors of 84399

List of positive integer factors of 84399 that divides 84399 without a remainder.

1, 3, 7, 21, 4019, 12057, 28133

Step-4: Factors of 84417

List of positive integer factors of 84417 that divides 84399 without a remainder.

1, 3, 19, 57, 1481, 4443, 28139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84399 and 84417. The biggest common factor number is the GCF number.
So the greatest common factor 84399 and 84417 is 3.

Also check out the Least Common Multiple of 84399 and 84417