What is the Greatest Common Factor of 21888 and 21907?

Greatest common factor (GCF) of 21888 and 21907 is 19.

GCF(21888,21907) = 19

We will now calculate the prime factors of 21888 and 21907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21888 and 21907.

How to find the GCF of 21888 and 21907?

We will first find the prime factorization of 21888 and 21907. After we will calculate the factors of 21888 and 21907 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 21907

Prime factors of 21907 are 19, 1153. Prime factorization of 21907 in exponential form is:

21907 = 19¹ × 1153¹

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 21907

List of positive integer factors of 21907 that divides 21888 without a remainder.

1, 19, 1153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21888 and 21907. The biggest common factor number is the GCF number.
So the greatest common factor 21888 and 21907 is 19.

Also check out the Least Common Multiple of 21888 and 21907