What is the Greatest Common Factor of 21808 and 21812?

Greatest common factor (GCF) of 21808 and 21812 is 4.

GCF(21808,21812) = 4

We will now calculate the prime factors of 21808 and 21812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21808 and 21812.

How to find the GCF of 21808 and 21812?

We will first find the prime factorization of 21808 and 21812. After we will calculate the factors of 21808 and 21812 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21812

Prime factors of 21812 are 2, 7, 19, 41. Prime factorization of 21812 in exponential form is:

21812 = 2² × 7¹ × 19¹ × 41¹

Step-3: Factors of 21808

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

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

Step-4: Factors of 21812

List of positive integer factors of 21812 that divides 21808 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 41, 76, 82, 133, 164, 266, 287, 532, 574, 779, 1148, 1558, 3116, 5453, 10906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21808 and 21812. The biggest common factor number is the GCF number.
So the greatest common factor 21808 and 21812 is 4.

Also check out the Least Common Multiple of 21808 and 21812