What is the Greatest Common Factor of 86424 and 86430?

Greatest common factor (GCF) of 86424 and 86430 is 6.

GCF(86424,86430) = 6

We will now calculate the prime factors of 86424 and 86430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86424 and 86430.

How to find the GCF of 86424 and 86430?

We will first find the prime factorization of 86424 and 86430. After we will calculate the factors of 86424 and 86430 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 86430

Prime factors of 86430 are 2, 3, 5, 43, 67. Prime factorization of 86430 in exponential form is:

86430 = 2¹ × 3¹ × 5¹ × 43¹ × 67¹

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 86430

List of positive integer factors of 86430 that divides 86424 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 67, 86, 129, 134, 201, 215, 258, 335, 402, 430, 645, 670, 1005, 1290, 2010, 2881, 5762, 8643, 14405, 17286, 28810, 43215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86424 and 86430. The biggest common factor number is the GCF number.
So the greatest common factor 86424 and 86430 is 6.

Also check out the Least Common Multiple of 86424 and 86430