What is the Greatest Common Factor of 28812 and 28823?

Greatest common factor (GCF) of 28812 and 28823 is 1.

GCF(28812,28823) = 1

We will now calculate the prime factors of 28812 and 28823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28812 and 28823.

How to find the GCF of 28812 and 28823?

We will first find the prime factorization of 28812 and 28823. After we will calculate the factors of 28812 and 28823 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28823

Prime factors of 28823 are 19, 37, 41. Prime factorization of 28823 in exponential form is:

28823 = 19¹ × 37¹ × 41¹

Step-3: Factors of 28812

List of positive integer factors of 28812 that divides 28812 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

Step-4: Factors of 28823

List of positive integer factors of 28823 that divides 28812 without a remainder.

1, 19, 37, 41, 703, 779, 1517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28812 and 28823. The biggest common factor number is the GCF number.
So the greatest common factor 28812 and 28823 is 1.

Also check out the Least Common Multiple of 28812 and 28823