What is the Greatest Common Factor of 10578 and 10584?

Greatest common factor (GCF) of 10578 and 10584 is 6.

GCF(10578,10584) = 6

We will now calculate the prime factors of 10578 and 10584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10578 and 10584.

How to find the GCF of 10578 and 10584?

We will first find the prime factorization of 10578 and 10584. After we will calculate the factors of 10578 and 10584 and find the biggest common factor number .

Step-1: Prime Factorization of 10578

Prime factors of 10578 are 2, 3, 41, 43. Prime factorization of 10578 in exponential form is:

10578 = 2¹ × 3¹ × 41¹ × 43¹

Step-2: Prime Factorization of 10584

Prime factors of 10584 are 2, 3, 7. Prime factorization of 10584 in exponential form is:

10584 = 2³ × 3³ × 7²

Step-3: Factors of 10578

List of positive integer factors of 10578 that divides 10578 without a remainder.

1, 2, 3, 6, 41, 43, 82, 86, 123, 129, 246, 258, 1763, 3526, 5289

Step-4: Factors of 10584

List of positive integer factors of 10584 that divides 10578 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 49, 54, 56, 63, 72, 84, 98, 108, 126, 147, 168, 189, 196, 216, 252, 294, 378, 392, 441, 504, 588, 756, 882, 1176, 1323, 1512, 1764, 2646, 3528, 5292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10578 and 10584. The biggest common factor number is the GCF number.
So the greatest common factor 10578 and 10584 is 6.

Also check out the Least Common Multiple of 10578 and 10584