What is the Greatest Common Factor of 21930 and 21947?

Greatest common factor (GCF) of 21930 and 21947 is 17.

GCF(21930,21947) = 17

We will now calculate the prime factors of 21930 and 21947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21930 and 21947.

How to find the GCF of 21930 and 21947?

We will first find the prime factorization of 21930 and 21947. After we will calculate the factors of 21930 and 21947 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21947

Prime factors of 21947 are 17, 1291. Prime factorization of 21947 in exponential form is:

21947 = 17¹ × 1291¹

Step-3: Factors of 21930

List of positive integer factors of 21930 that divides 21930 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

Step-4: Factors of 21947

List of positive integer factors of 21947 that divides 21930 without a remainder.

1, 17, 1291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21930 and 21947. The biggest common factor number is the GCF number.
So the greatest common factor 21930 and 21947 is 17.

Also check out the Least Common Multiple of 21930 and 21947