What is the Greatest Common Factor of 28799 and 28818?

Greatest common factor (GCF) of 28799 and 28818 is 1.

GCF(28799,28818) = 1

We will now calculate the prime factors of 28799 and 28818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28799 and 28818.

How to find the GCF of 28799 and 28818?

We will first find the prime factorization of 28799 and 28818. After we will calculate the factors of 28799 and 28818 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 28818

Prime factors of 28818 are 2, 3, 1601. Prime factorization of 28818 in exponential form is:

28818 = 2¹ × 3² × 1601¹

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 28818

List of positive integer factors of 28818 that divides 28799 without a remainder.

1, 2, 3, 6, 9, 18, 1601, 3202, 4803, 9606, 14409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28799 and 28818. The biggest common factor number is the GCF number.
So the greatest common factor 28799 and 28818 is 1.

Also check out the Least Common Multiple of 28799 and 28818