What is the Greatest Common Factor of 28392 and 28405?

Greatest common factor (GCF) of 28392 and 28405 is 13.

GCF(28392,28405) = 13

We will now calculate the prime factors of 28392 and 28405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28392 and 28405.

How to find the GCF of 28392 and 28405?

We will first find the prime factorization of 28392 and 28405. After we will calculate the factors of 28392 and 28405 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 28405

Prime factors of 28405 are 5, 13, 19, 23. Prime factorization of 28405 in exponential form is:

28405 = 5¹ × 13¹ × 19¹ × 23¹

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 28405

List of positive integer factors of 28405 that divides 28392 without a remainder.

1, 5, 13, 19, 23, 65, 95, 115, 247, 299, 437, 1235, 1495, 2185, 5681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28392 and 28405. The biggest common factor number is the GCF number.
So the greatest common factor 28392 and 28405 is 13.

Also check out the Least Common Multiple of 28392 and 28405