What is the Greatest Common Factor of 21804 and 21808?

Greatest common factor (GCF) of 21804 and 21808 is 4.

GCF(21804,21808) = 4

We will now calculate the prime factors of 21804 and 21808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21804 and 21808.

How to find the GCF of 21804 and 21808?

We will first find the prime factorization of 21804 and 21808. After we will calculate the factors of 21804 and 21808 and find the biggest common factor number .

Step-1: Prime Factorization of 21804

Prime factors of 21804 are 2, 3, 23, 79. Prime factorization of 21804 in exponential form is:

21804 = 2² × 3¹ × 23¹ × 79¹

Step-2: Prime Factorization of 21808

Prime factors of 21808 are 2, 29, 47. Prime factorization of 21808 in exponential form is:

21808 = 2⁴ × 29¹ × 47¹

Step-3: Factors of 21804

List of positive integer factors of 21804 that divides 21804 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 79, 92, 138, 158, 237, 276, 316, 474, 948, 1817, 3634, 5451, 7268, 10902

Step-4: Factors of 21808

List of positive integer factors of 21808 that divides 21804 without a remainder.

1, 2, 4, 8, 16, 29, 47, 58, 94, 116, 188, 232, 376, 464, 752, 1363, 2726, 5452, 10904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21804 and 21808. The biggest common factor number is the GCF number.
So the greatest common factor 21804 and 21808 is 4.

Also check out the Least Common Multiple of 21804 and 21808