What is the Greatest Common Factor of 27830 and 27837?

Greatest common factor (GCF) of 27830 and 27837 is 1.

GCF(27830,27837) = 1

We will now calculate the prime factors of 27830 and 27837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27830 and 27837.

How to find the GCF of 27830 and 27837?

We will first find the prime factorization of 27830 and 27837. After we will calculate the factors of 27830 and 27837 and find the biggest common factor number .

Step-1: Prime Factorization of 27830

Prime factors of 27830 are 2, 5, 11, 23. Prime factorization of 27830 in exponential form is:

27830 = 2¹ × 5¹ × 11² × 23¹

Step-2: Prime Factorization of 27837

Prime factors of 27837 are 3, 1031. Prime factorization of 27837 in exponential form is:

27837 = 3³ × 1031¹

Step-3: Factors of 27830

List of positive integer factors of 27830 that divides 27830 without a remainder.

1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 121, 230, 242, 253, 506, 605, 1210, 1265, 2530, 2783, 5566, 13915

Step-4: Factors of 27837

List of positive integer factors of 27837 that divides 27830 without a remainder.

1, 3, 9, 27, 1031, 3093, 9279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27830 and 27837. The biggest common factor number is the GCF number.
So the greatest common factor 27830 and 27837 is 1.

Also check out the Least Common Multiple of 27830 and 27837