What is the Greatest Common Factor of 43828 and 43840?

Greatest common factor (GCF) of 43828 and 43840 is 4.

GCF(43828,43840) = 4

We will now calculate the prime factors of 43828 and 43840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43828 and 43840.

How to find the GCF of 43828 and 43840?

We will first find the prime factorization of 43828 and 43840. After we will calculate the factors of 43828 and 43840 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 43840

Prime factors of 43840 are 2, 5, 137. Prime factorization of 43840 in exponential form is:

43840 = 2⁶ × 5¹ × 137¹

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 43840

List of positive integer factors of 43840 that divides 43828 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 137, 160, 274, 320, 548, 685, 1096, 1370, 2192, 2740, 4384, 5480, 8768, 10960, 21920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43828 and 43840. The biggest common factor number is the GCF number.
So the greatest common factor 43828 and 43840 is 4.

Also check out the Least Common Multiple of 43828 and 43840