What is the Greatest Common Factor of 28392 and 28401?

Greatest common factor (GCF) of 28392 and 28401 is 3.

GCF(28392,28401) = 3

We will now calculate the prime factors of 28392 and 28401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28392 and 28401.

How to find the GCF of 28392 and 28401?

We will first find the prime factorization of 28392 and 28401. After we will calculate the factors of 28392 and 28401 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 28401

Prime factors of 28401 are 3, 9467. Prime factorization of 28401 in exponential form is:

28401 = 3¹ × 9467¹

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 28401

List of positive integer factors of 28401 that divides 28392 without a remainder.

1, 3, 9467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28392 and 28401. The biggest common factor number is the GCF number.
So the greatest common factor 28392 and 28401 is 3.

Also check out the Least Common Multiple of 28392 and 28401