What is the Greatest Common Factor of 10392 and 10404?

Greatest common factor (GCF) of 10392 and 10404 is 12.

GCF(10392,10404) = 12

We will now calculate the prime factors of 10392 and 10404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10392 and 10404.

How to find the GCF of 10392 and 10404?

We will first find the prime factorization of 10392 and 10404. After we will calculate the factors of 10392 and 10404 and find the biggest common factor number .

Step-1: Prime Factorization of 10392

Prime factors of 10392 are 2, 3, 433. Prime factorization of 10392 in exponential form is:

10392 = 2³ × 3¹ × 433¹

Step-2: Prime Factorization of 10404

Prime factors of 10404 are 2, 3, 17. Prime factorization of 10404 in exponential form is:

10404 = 2² × 3² × 17²

Step-3: Factors of 10392

List of positive integer factors of 10392 that divides 10392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 433, 866, 1299, 1732, 2598, 3464, 5196

Step-4: Factors of 10404

List of positive integer factors of 10404 that divides 10392 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 289, 306, 578, 612, 867, 1156, 1734, 2601, 3468, 5202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10392 and 10404. The biggest common factor number is the GCF number.
So the greatest common factor 10392 and 10404 is 12.

Also check out the Least Common Multiple of 10392 and 10404