What is the Greatest Common Factor of 84409 and 84423?

Greatest common factor (GCF) of 84409 and 84423 is 1.

GCF(84409,84423) = 1

We will now calculate the prime factors of 84409 and 84423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84409 and 84423.

How to find the GCF of 84409 and 84423?

We will first find the prime factorization of 84409 and 84423. After we will calculate the factors of 84409 and 84423 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 84423

Prime factors of 84423 are 3, 107, 263. Prime factorization of 84423 in exponential form is:

84423 = 3¹ × 107¹ × 263¹

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 84423

List of positive integer factors of 84423 that divides 84409 without a remainder.

1, 3, 107, 263, 321, 789, 28141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84409 and 84423. The biggest common factor number is the GCF number.
So the greatest common factor 84409 and 84423 is 1.

Also check out the Least Common Multiple of 84409 and 84423