What is the Greatest Common Factor of 43840 and 43849?

Greatest common factor (GCF) of 43840 and 43849 is 1.

GCF(43840,43849) = 1

We will now calculate the prime factors of 43840 and 43849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43840 and 43849.

How to find the GCF of 43840 and 43849?

We will first find the prime factorization of 43840 and 43849. After we will calculate the factors of 43840 and 43849 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 43849

Prime factors of 43849 are 13, 3373. Prime factorization of 43849 in exponential form is:

43849 = 13¹ × 3373¹

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 43849

List of positive integer factors of 43849 that divides 43840 without a remainder.

1, 13, 3373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43840 and 43849. The biggest common factor number is the GCF number.
So the greatest common factor 43840 and 43849 is 1.

Also check out the Least Common Multiple of 43840 and 43849