What is the Greatest Common Factor of 10584 and 10598?

Greatest common factor (GCF) of 10584 and 10598 is 14.

GCF(10584,10598) = 14

We will now calculate the prime factors of 10584 and 10598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10584 and 10598.

How to find the GCF of 10584 and 10598?

We will first find the prime factorization of 10584 and 10598. After we will calculate the factors of 10584 and 10598 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 10598

Prime factors of 10598 are 2, 7, 757. Prime factorization of 10598 in exponential form is:

10598 = 2¹ × 7¹ × 757¹

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 10598

List of positive integer factors of 10598 that divides 10584 without a remainder.

1, 2, 7, 14, 757, 1514, 5299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10584 and 10598. The biggest common factor number is the GCF number.
So the greatest common factor 10584 and 10598 is 14.

Also check out the Least Common Multiple of 10584 and 10598