What is the Greatest Common Factor of 86424 and 86442?

Greatest common factor (GCF) of 86424 and 86442 is 6.

GCF(86424,86442) = 6

We will now calculate the prime factors of 86424 and 86442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86424 and 86442.

How to find the GCF of 86424 and 86442?

We will first find the prime factorization of 86424 and 86442. After we will calculate the factors of 86424 and 86442 and find the biggest common factor number .

Step-1: Prime Factorization of 86424

Prime factors of 86424 are 2, 3, 13, 277. Prime factorization of 86424 in exponential form is:

86424 = 2³ × 3¹ × 13¹ × 277¹

Step-2: Prime Factorization of 86442

Prime factors of 86442 are 2, 3, 14407. Prime factorization of 86442 in exponential form is:

86442 = 2¹ × 3¹ × 14407¹

Step-3: Factors of 86424

List of positive integer factors of 86424 that divides 86424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 277, 312, 554, 831, 1108, 1662, 2216, 3324, 3601, 6648, 7202, 10803, 14404, 21606, 28808, 43212

Step-4: Factors of 86442

List of positive integer factors of 86442 that divides 86424 without a remainder.

1, 2, 3, 6, 14407, 28814, 43221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86424 and 86442. The biggest common factor number is the GCF number.
So the greatest common factor 86424 and 86442 is 6.

Also check out the Least Common Multiple of 86424 and 86442