What is the Greatest Common Factor of 86544 and 86562?

Greatest common factor (GCF) of 86544 and 86562 is 18.

GCF(86544,86562) = 18

We will now calculate the prime factors of 86544 and 86562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86544 and 86562.

How to find the GCF of 86544 and 86562?

We will first find the prime factorization of 86544 and 86562. After we will calculate the factors of 86544 and 86562 and find the biggest common factor number .

Step-1: Prime Factorization of 86544

Prime factors of 86544 are 2, 3, 601. Prime factorization of 86544 in exponential form is:

86544 = 2⁴ × 3² × 601¹

Step-2: Prime Factorization of 86562

Prime factors of 86562 are 2, 3, 7, 229. Prime factorization of 86562 in exponential form is:

86562 = 2¹ × 3³ × 7¹ × 229¹

Step-3: Factors of 86544

List of positive integer factors of 86544 that divides 86544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 601, 1202, 1803, 2404, 3606, 4808, 5409, 7212, 9616, 10818, 14424, 21636, 28848, 43272

Step-4: Factors of 86562

List of positive integer factors of 86562 that divides 86544 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 229, 378, 458, 687, 1374, 1603, 2061, 3206, 4122, 4809, 6183, 9618, 12366, 14427, 28854, 43281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86544 and 86562. The biggest common factor number is the GCF number.
So the greatest common factor 86544 and 86562 is 18.

Also check out the Least Common Multiple of 86544 and 86562