What is the Greatest Common Factor of 21913 and 21930?

Greatest common factor (GCF) of 21913 and 21930 is 17.

GCF(21913,21930) = 17

We will now calculate the prime factors of 21913 and 21930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21913 and 21930.

How to find the GCF of 21913 and 21930?

We will first find the prime factorization of 21913 and 21930. After we will calculate the factors of 21913 and 21930 and find the biggest common factor number .

Step-1: Prime Factorization of 21913

Prime factors of 21913 are 17, 1289. Prime factorization of 21913 in exponential form is:

21913 = 17¹ × 1289¹

Step-2: Prime Factorization of 21930

Prime factors of 21930 are 2, 3, 5, 17, 43. Prime factorization of 21930 in exponential form is:

21930 = 2¹ × 3¹ × 5¹ × 17¹ × 43¹

Step-3: Factors of 21913

List of positive integer factors of 21913 that divides 21913 without a remainder.

1, 17, 1289

Step-4: Factors of 21930

List of positive integer factors of 21930 that divides 21913 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 43, 51, 85, 86, 102, 129, 170, 215, 255, 258, 430, 510, 645, 731, 1290, 1462, 2193, 3655, 4386, 7310, 10965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21913 and 21930. The biggest common factor number is the GCF number.
So the greatest common factor 21913 and 21930 is 17.

Also check out the Least Common Multiple of 21913 and 21930