What is the Greatest Common Factor of 84409 and 84428?

Greatest common factor (GCF) of 84409 and 84428 is 1.

GCF(84409,84428) = 1

We will now calculate the prime factors of 84409 and 84428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84409 and 84428.

How to find the GCF of 84409 and 84428?

We will first find the prime factorization of 84409 and 84428. After we will calculate the factors of 84409 and 84428 and find the biggest common factor number .

Step-1: Prime Factorization of 84409

Prime factors of 84409 are 13, 43, 151. Prime factorization of 84409 in exponential form is:

84409 = 13¹ × 43¹ × 151¹

Step-2: Prime Factorization of 84428

Prime factors of 84428 are 2, 21107. Prime factorization of 84428 in exponential form is:

84428 = 2² × 21107¹

Step-3: Factors of 84409

List of positive integer factors of 84409 that divides 84409 without a remainder.

1, 13, 43, 151, 559, 1963, 6493

Step-4: Factors of 84428

List of positive integer factors of 84428 that divides 84409 without a remainder.

1, 2, 4, 21107, 42214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84409 and 84428. The biggest common factor number is the GCF number.
So the greatest common factor 84409 and 84428 is 1.

Also check out the Least Common Multiple of 84409 and 84428