What is the Greatest Common Factor of 43840 and 43850?

Greatest common factor (GCF) of 43840 and 43850 is 10.

GCF(43840,43850) = 10

We will now calculate the prime factors of 43840 and 43850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43840 and 43850.

How to find the GCF of 43840 and 43850?

We will first find the prime factorization of 43840 and 43850. After we will calculate the factors of 43840 and 43850 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 43850

Prime factors of 43850 are 2, 5, 877. Prime factorization of 43850 in exponential form is:

43850 = 2¹ × 5² × 877¹

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 43850

List of positive integer factors of 43850 that divides 43840 without a remainder.

1, 2, 5, 10, 25, 50, 877, 1754, 4385, 8770, 21925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43840 and 43850. The biggest common factor number is the GCF number.
So the greatest common factor 43840 and 43850 is 10.

Also check out the Least Common Multiple of 43840 and 43850