What is the Greatest Common Factor of 23828 and 23834?

Greatest common factor (GCF) of 23828 and 23834 is 2.

GCF(23828,23834) = 2

We will now calculate the prime factors of 23828 and 23834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23828 and 23834.

How to find the GCF of 23828 and 23834?

We will first find the prime factorization of 23828 and 23834. After we will calculate the factors of 23828 and 23834 and find the biggest common factor number .

Step-1: Prime Factorization of 23828

Prime factors of 23828 are 2, 7, 23, 37. Prime factorization of 23828 in exponential form is:

23828 = 2² × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 23834

Prime factors of 23834 are 2, 17, 701. Prime factorization of 23834 in exponential form is:

23834 = 2¹ × 17¹ × 701¹

Step-3: Factors of 23828

List of positive integer factors of 23828 that divides 23828 without a remainder.

1, 2, 4, 7, 14, 23, 28, 37, 46, 74, 92, 148, 161, 259, 322, 518, 644, 851, 1036, 1702, 3404, 5957, 11914

Step-4: Factors of 23834

List of positive integer factors of 23834 that divides 23828 without a remainder.

1, 2, 17, 34, 701, 1402, 11917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23828 and 23834. The biggest common factor number is the GCF number.
So the greatest common factor 23828 and 23834 is 2.

Also check out the Least Common Multiple of 23828 and 23834