What is the Greatest Common Factor of 21299 and 21318?

Greatest common factor (GCF) of 21299 and 21318 is 19.

GCF(21299,21318) = 19

We will now calculate the prime factors of 21299 and 21318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21299 and 21318.

How to find the GCF of 21299 and 21318?

We will first find the prime factorization of 21299 and 21318. After we will calculate the factors of 21299 and 21318 and find the biggest common factor number .

Step-1: Prime Factorization of 21299

Prime factors of 21299 are 19, 59. Prime factorization of 21299 in exponential form is:

21299 = 19² × 59¹

Step-2: Prime Factorization of 21318

Prime factors of 21318 are 2, 3, 11, 17, 19. Prime factorization of 21318 in exponential form is:

21318 = 2¹ × 3¹ × 11¹ × 17¹ × 19¹

Step-3: Factors of 21299

List of positive integer factors of 21299 that divides 21299 without a remainder.

1, 19, 59, 361, 1121

Step-4: Factors of 21318

List of positive integer factors of 21318 that divides 21299 without a remainder.

1, 2, 3, 6, 11, 17, 19, 22, 33, 34, 38, 51, 57, 66, 102, 114, 187, 209, 323, 374, 418, 561, 627, 646, 969, 1122, 1254, 1938, 3553, 7106, 10659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21299 and 21318. The biggest common factor number is the GCF number.
So the greatest common factor 21299 and 21318 is 19.

Also check out the Least Common Multiple of 21299 and 21318