What is the Greatest Common Factor of 28799 and 28812?

Greatest common factor (GCF) of 28799 and 28812 is 1.

GCF(28799,28812) = 1

We will now calculate the prime factors of 28799 and 28812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28799 and 28812.

How to find the GCF of 28799 and 28812?

We will first find the prime factorization of 28799 and 28812. After we will calculate the factors of 28799 and 28812 and find the biggest common factor number .

Step-1: Prime Factorization of 28799

Prime factors of 28799 are 31, 929. Prime factorization of 28799 in exponential form is:

28799 = 31¹ × 929¹

Step-2: Prime Factorization of 28812

Prime factors of 28812 are 2, 3, 7. Prime factorization of 28812 in exponential form is:

28812 = 2² × 3¹ × 7⁴

Step-3: Factors of 28799

List of positive integer factors of 28799 that divides 28799 without a remainder.

1, 31, 929

Step-4: Factors of 28812

List of positive integer factors of 28812 that divides 28799 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 2401, 4116, 4802, 7203, 9604, 14406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28799 and 28812. The biggest common factor number is the GCF number.
So the greatest common factor 28799 and 28812 is 1.

Also check out the Least Common Multiple of 28799 and 28812