What is the Greatest Common Factor of 86424 and 86432?

Greatest common factor (GCF) of 86424 and 86432 is 8.

GCF(86424,86432) = 8

We will now calculate the prime factors of 86424 and 86432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86424 and 86432.

How to find the GCF of 86424 and 86432?

We will first find the prime factorization of 86424 and 86432. After we will calculate the factors of 86424 and 86432 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 86432

Prime factors of 86432 are 2, 37, 73. Prime factorization of 86432 in exponential form is:

86432 = 2⁵ × 37¹ × 73¹

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 86432

List of positive integer factors of 86432 that divides 86424 without a remainder.

1, 2, 4, 8, 16, 32, 37, 73, 74, 146, 148, 292, 296, 584, 592, 1168, 1184, 2336, 2701, 5402, 10804, 21608, 43216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86424 and 86432. The biggest common factor number is the GCF number.
So the greatest common factor 86424 and 86432 is 8.

Also check out the Least Common Multiple of 86424 and 86432