What is the Greatest Common Factor of 81828 and 81834?

Greatest common factor (GCF) of 81828 and 81834 is 6.

GCF(81828,81834) = 6

We will now calculate the prime factors of 81828 and 81834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81828 and 81834.

How to find the GCF of 81828 and 81834?

We will first find the prime factorization of 81828 and 81834. After we will calculate the factors of 81828 and 81834 and find the biggest common factor number .

Step-1: Prime Factorization of 81828

Prime factors of 81828 are 2, 3, 2273. Prime factorization of 81828 in exponential form is:

81828 = 2² × 3² × 2273¹

Step-2: Prime Factorization of 81834

Prime factors of 81834 are 2, 3, 23, 593. Prime factorization of 81834 in exponential form is:

81834 = 2¹ × 3¹ × 23¹ × 593¹

Step-3: Factors of 81828

List of positive integer factors of 81828 that divides 81828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2273, 4546, 6819, 9092, 13638, 20457, 27276, 40914

Step-4: Factors of 81834

List of positive integer factors of 81834 that divides 81828 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 593, 1186, 1779, 3558, 13639, 27278, 40917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81828 and 81834. The biggest common factor number is the GCF number.
So the greatest common factor 81828 and 81834 is 6.

Also check out the Least Common Multiple of 81828 and 81834