What is the Greatest Common Factor of 27830 and 27834?

Greatest common factor (GCF) of 27830 and 27834 is 2.

GCF(27830,27834) = 2

We will now calculate the prime factors of 27830 and 27834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27830 and 27834.

How to find the GCF of 27830 and 27834?

We will first find the prime factorization of 27830 and 27834. After we will calculate the factors of 27830 and 27834 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 27834

Prime factors of 27834 are 2, 3, 4639. Prime factorization of 27834 in exponential form is:

27834 = 2¹ × 3¹ × 4639¹

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 27834

List of positive integer factors of 27834 that divides 27830 without a remainder.

1, 2, 3, 6, 4639, 9278, 13917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27830 and 27834. The biggest common factor number is the GCF number.
So the greatest common factor 27830 and 27834 is 2.

Also check out the Least Common Multiple of 27830 and 27834