What is the Greatest Common Factor of 86424 and 86437?

Greatest common factor (GCF) of 86424 and 86437 is 13.

GCF(86424,86437) = 13

We will now calculate the prime factors of 86424 and 86437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86424 and 86437.

How to find the GCF of 86424 and 86437?

We will first find the prime factorization of 86424 and 86437. After we will calculate the factors of 86424 and 86437 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 86437

Prime factors of 86437 are 13, 61, 109. Prime factorization of 86437 in exponential form is:

86437 = 13¹ × 61¹ × 109¹

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 86437

List of positive integer factors of 86437 that divides 86424 without a remainder.

1, 13, 61, 109, 793, 1417, 6649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86424 and 86437. The biggest common factor number is the GCF number.
So the greatest common factor 86424 and 86437 is 13.

Also check out the Least Common Multiple of 86424 and 86437