What is the Greatest Common Factor of 28782 and 28795?

Greatest common factor (GCF) of 28782 and 28795 is 13.

GCF(28782,28795) = 13

We will now calculate the prime factors of 28782 and 28795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28782 and 28795.

How to find the GCF of 28782 and 28795?

We will first find the prime factorization of 28782 and 28795. After we will calculate the factors of 28782 and 28795 and find the biggest common factor number .

Step-1: Prime Factorization of 28782

Prime factors of 28782 are 2, 3, 13, 41. Prime factorization of 28782 in exponential form is:

28782 = 2¹ × 3³ × 13¹ × 41¹

Step-2: Prime Factorization of 28795

Prime factors of 28795 are 5, 13, 443. Prime factorization of 28795 in exponential form is:

28795 = 5¹ × 13¹ × 443¹

Step-3: Factors of 28782

List of positive integer factors of 28782 that divides 28782 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 41, 54, 78, 82, 117, 123, 234, 246, 351, 369, 533, 702, 738, 1066, 1107, 1599, 2214, 3198, 4797, 9594, 14391

Step-4: Factors of 28795

List of positive integer factors of 28795 that divides 28782 without a remainder.

1, 5, 13, 65, 443, 2215, 5759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28782 and 28795. The biggest common factor number is the GCF number.
So the greatest common factor 28782 and 28795 is 13.

Also check out the Least Common Multiple of 28782 and 28795