What is the Greatest Common Factor of 21930 and 21950?

Greatest common factor (GCF) of 21930 and 21950 is 10.

GCF(21930,21950) = 10

We will now calculate the prime factors of 21930 and 21950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21930 and 21950.

How to find the GCF of 21930 and 21950?

We will first find the prime factorization of 21930 and 21950. After we will calculate the factors of 21930 and 21950 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 21950

Prime factors of 21950 are 2, 5, 439. Prime factorization of 21950 in exponential form is:

21950 = 2¹ × 5² × 439¹

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 21950

List of positive integer factors of 21950 that divides 21930 without a remainder.

1, 2, 5, 10, 25, 50, 439, 878, 2195, 4390, 10975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21930 and 21950. The biggest common factor number is the GCF number.
So the greatest common factor 21930 and 21950 is 10.

Also check out the Least Common Multiple of 21930 and 21950