What is the Greatest Common Factor of 43838 and 43844?

Greatest common factor (GCF) of 43838 and 43844 is 2.

GCF(43838,43844) = 2

We will now calculate the prime factors of 43838 and 43844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43838 and 43844.

How to find the GCF of 43838 and 43844?

We will first find the prime factorization of 43838 and 43844. After we will calculate the factors of 43838 and 43844 and find the biggest common factor number .

Step-1: Prime Factorization of 43838

Prime factors of 43838 are 2, 23, 953. Prime factorization of 43838 in exponential form is:

43838 = 2¹ × 23¹ × 953¹

Step-2: Prime Factorization of 43844

Prime factors of 43844 are 2, 97, 113. Prime factorization of 43844 in exponential form is:

43844 = 2² × 97¹ × 113¹

Step-3: Factors of 43838

List of positive integer factors of 43838 that divides 43838 without a remainder.

1, 2, 23, 46, 953, 1906, 21919

Step-4: Factors of 43844

List of positive integer factors of 43844 that divides 43838 without a remainder.

1, 2, 4, 97, 113, 194, 226, 388, 452, 10961, 21922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43838 and 43844. The biggest common factor number is the GCF number.
So the greatest common factor 43838 and 43844 is 2.

Also check out the Least Common Multiple of 43838 and 43844