What is the Greatest Common Factor of 28824 and 28836?

Greatest common factor (GCF) of 28824 and 28836 is 12.

GCF(28824,28836) = 12

We will now calculate the prime factors of 28824 and 28836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28824 and 28836.

How to find the GCF of 28824 and 28836?

We will first find the prime factorization of 28824 and 28836. After we will calculate the factors of 28824 and 28836 and find the biggest common factor number .

Step-1: Prime Factorization of 28824

Prime factors of 28824 are 2, 3, 1201. Prime factorization of 28824 in exponential form is:

28824 = 2³ × 3¹ × 1201¹

Step-2: Prime Factorization of 28836

Prime factors of 28836 are 2, 3, 89. Prime factorization of 28836 in exponential form is:

28836 = 2² × 3⁴ × 89¹

Step-3: Factors of 28824

List of positive integer factors of 28824 that divides 28824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1201, 2402, 3603, 4804, 7206, 9608, 14412

Step-4: Factors of 28836

List of positive integer factors of 28836 that divides 28824 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 89, 108, 162, 178, 267, 324, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 7209, 9612, 14418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28824 and 28836. The biggest common factor number is the GCF number.
So the greatest common factor 28824 and 28836 is 12.

Also check out the Least Common Multiple of 28824 and 28836