What is the Greatest Common Factor of 43840 and 43855?

Greatest common factor (GCF) of 43840 and 43855 is 5.

GCF(43840,43855) = 5

We will now calculate the prime factors of 43840 and 43855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43840 and 43855.

How to find the GCF of 43840 and 43855?

We will first find the prime factorization of 43840 and 43855. After we will calculate the factors of 43840 and 43855 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43855

Prime factors of 43855 are 5, 7, 179. Prime factorization of 43855 in exponential form is:

43855 = 5¹ × 7² × 179¹

Step-3: Factors of 43840

List of positive integer factors of 43840 that divides 43840 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

Step-4: Factors of 43855

List of positive integer factors of 43855 that divides 43840 without a remainder.

1, 5, 7, 35, 49, 179, 245, 895, 1253, 6265, 8771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43840 and 43855. The biggest common factor number is the GCF number.
So the greatest common factor 43840 and 43855 is 5.

Also check out the Least Common Multiple of 43840 and 43855