What is the Greatest Common Factor of 10584 and 10593?

Greatest common factor (GCF) of 10584 and 10593 is 9.

GCF(10584,10593) = 9

We will now calculate the prime factors of 10584 and 10593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10584 and 10593.

How to find the GCF of 10584 and 10593?

We will first find the prime factorization of 10584 and 10593. After we will calculate the factors of 10584 and 10593 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10593

Prime factors of 10593 are 3, 11, 107. Prime factorization of 10593 in exponential form is:

10593 = 3² × 11¹ × 107¹

Step-3: Factors of 10584

List of positive integer factors of 10584 that divides 10584 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

Step-4: Factors of 10593

List of positive integer factors of 10593 that divides 10584 without a remainder.

1, 3, 9, 11, 33, 99, 107, 321, 963, 1177, 3531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10584 and 10593. The biggest common factor number is the GCF number.
So the greatest common factor 10584 and 10593 is 9.

Also check out the Least Common Multiple of 10584 and 10593