What is the Greatest Common Factor of 28392 and 28398?

Greatest common factor (GCF) of 28392 and 28398 is 6.

GCF(28392,28398) = 6

We will now calculate the prime factors of 28392 and 28398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28392 and 28398.

How to find the GCF of 28392 and 28398?

We will first find the prime factorization of 28392 and 28398. After we will calculate the factors of 28392 and 28398 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 28398

Prime factors of 28398 are 2, 3, 4733. Prime factorization of 28398 in exponential form is:

28398 = 2¹ × 3¹ × 4733¹

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 28398

List of positive integer factors of 28398 that divides 28392 without a remainder.

1, 2, 3, 6, 4733, 9466, 14199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28392 and 28398. The biggest common factor number is the GCF number.
So the greatest common factor 28392 and 28398 is 6.

Also check out the Least Common Multiple of 28392 and 28398