What is the Greatest Common Factor of 84409 and 84422?

Greatest common factor (GCF) of 84409 and 84422 is 13.

GCF(84409,84422) = 13

We will now calculate the prime factors of 84409 and 84422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84409 and 84422.

How to find the GCF of 84409 and 84422?

We will first find the prime factorization of 84409 and 84422. After we will calculate the factors of 84409 and 84422 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 84422

Prime factors of 84422 are 2, 13, 17, 191. Prime factorization of 84422 in exponential form is:

84422 = 2¹ × 13¹ × 17¹ × 191¹

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 84422

List of positive integer factors of 84422 that divides 84409 without a remainder.

1, 2, 13, 17, 26, 34, 191, 221, 382, 442, 2483, 3247, 4966, 6494, 42211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84409 and 84422. The biggest common factor number is the GCF number.
So the greatest common factor 84409 and 84422 is 13.

Also check out the Least Common Multiple of 84409 and 84422