What is the Greatest Common Factor of 21830 and 21838?

Greatest common factor (GCF) of 21830 and 21838 is 2.

GCF(21830,21838) = 2

We will now calculate the prime factors of 21830 and 21838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21830 and 21838.

How to find the GCF of 21830 and 21838?

We will first find the prime factorization of 21830 and 21838. After we will calculate the factors of 21830 and 21838 and find the biggest common factor number .

Step-1: Prime Factorization of 21830

Prime factors of 21830 are 2, 5, 37, 59. Prime factorization of 21830 in exponential form is:

21830 = 2¹ × 5¹ × 37¹ × 59¹

Step-2: Prime Factorization of 21838

Prime factors of 21838 are 2, 61, 179. Prime factorization of 21838 in exponential form is:

21838 = 2¹ × 61¹ × 179¹

Step-3: Factors of 21830

List of positive integer factors of 21830 that divides 21830 without a remainder.

1, 2, 5, 10, 37, 59, 74, 118, 185, 295, 370, 590, 2183, 4366, 10915

Step-4: Factors of 21838

List of positive integer factors of 21838 that divides 21830 without a remainder.

1, 2, 61, 122, 179, 358, 10919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21830 and 21838. The biggest common factor number is the GCF number.
So the greatest common factor 21830 and 21838 is 2.

Also check out the Least Common Multiple of 21830 and 21838