What is the Greatest Common Factor of 21888 and 21902?

Greatest common factor (GCF) of 21888 and 21902 is 2.

GCF(21888,21902) = 2

We will now calculate the prime factors of 21888 and 21902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21888 and 21902.

How to find the GCF of 21888 and 21902?

We will first find the prime factorization of 21888 and 21902. After we will calculate the factors of 21888 and 21902 and find the biggest common factor number .

Step-1: Prime Factorization of 21888

Prime factors of 21888 are 2, 3, 19. Prime factorization of 21888 in exponential form is:

21888 = 2⁷ × 3² × 19¹

Step-2: Prime Factorization of 21902

Prime factors of 21902 are 2, 47, 233. Prime factorization of 21902 in exponential form is:

21902 = 2¹ × 47¹ × 233¹

Step-3: Factors of 21888

List of positive integer factors of 21888 that divides 21888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 64, 72, 76, 96, 114, 128, 144, 152, 171, 192, 228, 288, 304, 342, 384, 456, 576, 608, 684, 912, 1152, 1216, 1368, 1824, 2432, 2736, 3648, 5472, 7296, 10944

Step-4: Factors of 21902

List of positive integer factors of 21902 that divides 21888 without a remainder.

1, 2, 47, 94, 233, 466, 10951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21888 and 21902. The biggest common factor number is the GCF number.
So the greatest common factor 21888 and 21902 is 2.

Also check out the Least Common Multiple of 21888 and 21902