What is the Greatest Common Factor of 28385 and 28392?

Greatest common factor (GCF) of 28385 and 28392 is 7.

GCF(28385,28392) = 7

We will now calculate the prime factors of 28385 and 28392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28385 and 28392.

How to find the GCF of 28385 and 28392?

We will first find the prime factorization of 28385 and 28392. After we will calculate the factors of 28385 and 28392 and find the biggest common factor number .

Step-1: Prime Factorization of 28385

Prime factors of 28385 are 5, 7, 811. Prime factorization of 28385 in exponential form is:

28385 = 5¹ × 7¹ × 811¹

Step-2: 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-3: Factors of 28385

List of positive integer factors of 28385 that divides 28385 without a remainder.

1, 5, 7, 35, 811, 4055, 5677

Step-4: Factors of 28392

List of positive integer factors of 28392 that divides 28385 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28385 and 28392. The biggest common factor number is the GCF number.
So the greatest common factor 28385 and 28392 is 7.

Also check out the Least Common Multiple of 28385 and 28392