What is the Greatest Common Factor of 86424 and 86440?

Greatest common factor (GCF) of 86424 and 86440 is 8.

GCF(86424,86440) = 8

We will now calculate the prime factors of 86424 and 86440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86424 and 86440.

How to find the GCF of 86424 and 86440?

We will first find the prime factorization of 86424 and 86440. After we will calculate the factors of 86424 and 86440 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 86440

Prime factors of 86440 are 2, 5, 2161. Prime factorization of 86440 in exponential form is:

86440 = 2³ × 5¹ × 2161¹

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 86440

List of positive integer factors of 86440 that divides 86424 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2161, 4322, 8644, 10805, 17288, 21610, 43220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86424 and 86440. The biggest common factor number is the GCF number.
So the greatest common factor 86424 and 86440 is 8.

Also check out the Least Common Multiple of 86424 and 86440