What is the Greatest Common Factor of 84399 and 84408?

Greatest common factor (GCF) of 84399 and 84408 is 3.

GCF(84399,84408) = 3

We will now calculate the prime factors of 84399 and 84408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84399 and 84408.

How to find the GCF of 84399 and 84408?

We will first find the prime factorization of 84399 and 84408. After we will calculate the factors of 84399 and 84408 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 84408

Prime factors of 84408 are 2, 3, 3517. Prime factorization of 84408 in exponential form is:

84408 = 2³ × 3¹ × 3517¹

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 84408

List of positive integer factors of 84408 that divides 84399 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3517, 7034, 10551, 14068, 21102, 28136, 42204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84399 and 84408. The biggest common factor number is the GCF number.
So the greatest common factor 84399 and 84408 is 3.

Also check out the Least Common Multiple of 84399 and 84408