What is the Greatest Common Factor of 43828 and 43846?

Greatest common factor (GCF) of 43828 and 43846 is 2.

GCF(43828,43846) = 2

We will now calculate the prime factors of 43828 and 43846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43828 and 43846.

How to find the GCF of 43828 and 43846?

We will first find the prime factorization of 43828 and 43846. After we will calculate the factors of 43828 and 43846 and find the biggest common factor number .

Step-1: Prime Factorization of 43828

Prime factors of 43828 are 2, 10957. Prime factorization of 43828 in exponential form is:

43828 = 2² × 10957¹

Step-2: Prime Factorization of 43846

Prime factors of 43846 are 2, 11, 1993. Prime factorization of 43846 in exponential form is:

43846 = 2¹ × 11¹ × 1993¹

Step-3: Factors of 43828

List of positive integer factors of 43828 that divides 43828 without a remainder.

1, 2, 4, 10957, 21914

Step-4: Factors of 43846

List of positive integer factors of 43846 that divides 43828 without a remainder.

1, 2, 11, 22, 1993, 3986, 21923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43828 and 43846. The biggest common factor number is the GCF number.
So the greatest common factor 43828 and 43846 is 2.

Also check out the Least Common Multiple of 43828 and 43846