What is the Greatest Common Factor of 86415 and 86424?

Greatest common factor (GCF) of 86415 and 86424 is 3.

GCF(86415,86424) = 3

We will now calculate the prime factors of 86415 and 86424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86415 and 86424.

How to find the GCF of 86415 and 86424?

We will first find the prime factorization of 86415 and 86424. After we will calculate the factors of 86415 and 86424 and find the biggest common factor number .

Step-1: Prime Factorization of 86415

Prime factors of 86415 are 3, 5, 7, 823. Prime factorization of 86415 in exponential form is:

86415 = 3¹ × 5¹ × 7¹ × 823¹

Step-2: 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-3: Factors of 86415

List of positive integer factors of 86415 that divides 86415 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 823, 2469, 4115, 5761, 12345, 17283, 28805

Step-4: Factors of 86424

List of positive integer factors of 86424 that divides 86415 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86415 and 86424. The biggest common factor number is the GCF number.
So the greatest common factor 86415 and 86424 is 3.

Also check out the Least Common Multiple of 86415 and 86424