What is the Greatest Common Factor of 21301 and 21318?

Greatest common factor (GCF) of 21301 and 21318 is 17.

GCF(21301,21318) = 17

We will now calculate the prime factors of 21301 and 21318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21301 and 21318.

How to find the GCF of 21301 and 21318?

We will first find the prime factorization of 21301 and 21318. After we will calculate the factors of 21301 and 21318 and find the biggest common factor number .

Step-1: Prime Factorization of 21301

Prime factors of 21301 are 7, 17, 179. Prime factorization of 21301 in exponential form is:

21301 = 7¹ × 17¹ × 179¹

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 21301

List of positive integer factors of 21301 that divides 21301 without a remainder.

1, 7, 17, 119, 179, 1253, 3043

Step-4: Factors of 21318

List of positive integer factors of 21318 that divides 21301 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 21301 and 21318. The biggest common factor number is the GCF number.
So the greatest common factor 21301 and 21318 is 17.

Also check out the Least Common Multiple of 21301 and 21318