What is the Greatest Common Factor of 28392 and 28404?

Greatest common factor (GCF) of 28392 and 28404 is 12.

GCF(28392,28404) = 12

We will now calculate the prime factors of 28392 and 28404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28392 and 28404.

How to find the GCF of 28392 and 28404?

We will first find the prime factorization of 28392 and 28404. After we will calculate the factors of 28392 and 28404 and find the biggest common factor number .

Step-1: Prime Factorization of 28392

Prime factors of 28392 are 2, 3, 7, 13. Prime factorization of 28392 in exponential form is:

28392 = 2³ × 3¹ × 7¹ × 13²

Step-2: Prime Factorization of 28404

Prime factors of 28404 are 2, 3, 263. Prime factorization of 28404 in exponential form is:

28404 = 2² × 3³ × 263¹

Step-3: Factors of 28392

List of positive integer factors of 28392 that divides 28392 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 169, 182, 273, 312, 338, 364, 507, 546, 676, 728, 1014, 1092, 1183, 1352, 2028, 2184, 2366, 3549, 4056, 4732, 7098, 9464, 14196

Step-4: Factors of 28404

List of positive integer factors of 28404 that divides 28392 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 7101, 9468, 14202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28392 and 28404. The biggest common factor number is the GCF number.
So the greatest common factor 28392 and 28404 is 12.

Also check out the Least Common Multiple of 28392 and 28404