What is the Greatest Common Factor of 86424 and 86438?

Greatest common factor (GCF) of 86424 and 86438 is 2.

GCF(86424,86438) = 2

We will now calculate the prime factors of 86424 and 86438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86424 and 86438.

How to find the GCF of 86424 and 86438?

We will first find the prime factorization of 86424 and 86438. After we will calculate the factors of 86424 and 86438 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 86438

Prime factors of 86438 are 2, 11, 3929. Prime factorization of 86438 in exponential form is:

86438 = 2¹ × 11¹ × 3929¹

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 86438

List of positive integer factors of 86438 that divides 86424 without a remainder.

1, 2, 11, 22, 3929, 7858, 43219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86424 and 86438. The biggest common factor number is the GCF number.
So the greatest common factor 86424 and 86438 is 2.

Also check out the Least Common Multiple of 86424 and 86438