What is the Greatest Common Factor of 28392 and 28406?

Greatest common factor (GCF) of 28392 and 28406 is 14.

GCF(28392,28406) = 14

We will now calculate the prime factors of 28392 and 28406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28392 and 28406.

How to find the GCF of 28392 and 28406?

We will first find the prime factorization of 28392 and 28406. After we will calculate the factors of 28392 and 28406 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 28406

Prime factors of 28406 are 2, 7, 2029. Prime factorization of 28406 in exponential form is:

28406 = 2¹ × 7¹ × 2029¹

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 28406

List of positive integer factors of 28406 that divides 28392 without a remainder.

1, 2, 7, 14, 2029, 4058, 14203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28392 and 28406. The biggest common factor number is the GCF number.
So the greatest common factor 28392 and 28406 is 14.

Also check out the Least Common Multiple of 28392 and 28406