What is the Greatest Common Factor of 21730 and 21734?

Greatest common factor (GCF) of 21730 and 21734 is 2.

GCF(21730,21734) = 2

We will now calculate the prime factors of 21730 and 21734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21730 and 21734.

How to find the GCF of 21730 and 21734?

We will first find the prime factorization of 21730 and 21734. After we will calculate the factors of 21730 and 21734 and find the biggest common factor number .

Step-1: Prime Factorization of 21730

Prime factors of 21730 are 2, 5, 41, 53. Prime factorization of 21730 in exponential form is:

21730 = 2¹ × 5¹ × 41¹ × 53¹

Step-2: Prime Factorization of 21734

Prime factors of 21734 are 2, 10867. Prime factorization of 21734 in exponential form is:

21734 = 2¹ × 10867¹

Step-3: Factors of 21730

List of positive integer factors of 21730 that divides 21730 without a remainder.

1, 2, 5, 10, 41, 53, 82, 106, 205, 265, 410, 530, 2173, 4346, 10865

Step-4: Factors of 21734

List of positive integer factors of 21734 that divides 21730 without a remainder.

1, 2, 10867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21730 and 21734. The biggest common factor number is the GCF number.
So the greatest common factor 21730 and 21734 is 2.

Also check out the Least Common Multiple of 21730 and 21734