What is the Greatest Common Factor of 84408 and 84413?

Greatest common factor (GCF) of 84408 and 84413 is 1.

GCF(84408,84413) = 1

We will now calculate the prime factors of 84408 and 84413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84408 and 84413.

How to find the GCF of 84408 and 84413?

We will first find the prime factorization of 84408 and 84413. After we will calculate the factors of 84408 and 84413 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84413

Prime factors of 84413 are 7, 31, 389. Prime factorization of 84413 in exponential form is:

84413 = 7¹ × 31¹ × 389¹

Step-3: Factors of 84408

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

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

Step-4: Factors of 84413

List of positive integer factors of 84413 that divides 84408 without a remainder.

1, 7, 31, 217, 389, 2723, 12059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84408 and 84413. The biggest common factor number is the GCF number.
So the greatest common factor 84408 and 84413 is 1.

Also check out the Least Common Multiple of 84408 and 84413