What is the Greatest Common Factor of 21930 and 21946?

Greatest common factor (GCF) of 21930 and 21946 is 2.

GCF(21930,21946) = 2

We will now calculate the prime factors of 21930 and 21946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21930 and 21946.

How to find the GCF of 21930 and 21946?

We will first find the prime factorization of 21930 and 21946. After we will calculate the factors of 21930 and 21946 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 21946

Prime factors of 21946 are 2, 10973. Prime factorization of 21946 in exponential form is:

21946 = 2¹ × 10973¹

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 21946

List of positive integer factors of 21946 that divides 21930 without a remainder.

1, 2, 10973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21930 and 21946. The biggest common factor number is the GCF number.
So the greatest common factor 21930 and 21946 is 2.

Also check out the Least Common Multiple of 21930 and 21946